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GIVE YOUR POST A TITLE THAT WILL GIVE READERS AN IDEA OF WHAT YOUR APPLICATIONS ARE ABOUT

(0) Post your name

(1) In 75–125 words, summarize an application of TRIGONOMETRY you found while searching online.

(2) Insert the link(s) to any articles, videos, podcasts, or other media where you found the application of trigonometry.

(3) Why did you want to learn about this particular application of trigonometry? (Maybe because you foresee yourself using this in the future? Or maybe you found this application simply fascinating? Whatever the case, explain.)

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1) Trigonometry is used within the department of criminology, where forensic scientists use the measurement of triangles to analyze the direction of blood splattering. Moreover, the use of tig can also help determine if the origin is from one or more sources. It’s also used for ballistic calculations determining the angle where it was shot, where it was bounced, the distance from shooter to target, and the shotman height. All this information are used in the department for the scientist to determine the cause of murder like if they pushed or if they accidentally killed themselves by falling.

2)https://www.irishtimes.com/news/science/a-forensic-formula-for-solving-crimes-1.2425640
3) I chose to see the use of trig in criminology since it remarked to me that it doesn’t nearly mark a triangle that you draw or visually see, but how geometric shapes are present in our surroundings can be used to understand our surroundings and why incidents occur. Moreover, while studying criminology is not my interest, it's a career that I deem fascinating.

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Direction:
1. Trigonometry can be used to set directions such as the north, south, east, west. It is used on a compass, especially when you need to go in a certain direction. You can use trigonometry if you want to calculate a point in the ocean with a different point which can be the coastline or even another coordinate in the ocean. It's kind of like if you did a triangle with points/coordinates in the ocean.

2. https://www.mathnasium.com/real-life-applications-of-trigonometry#:~:text=Trigonometry%20is%20used%20to%20set,a%20point%20in%20the%20sea.

3. I don't see myself in navigation or in a profession related to the sea, yet I find it amusing and make me realize trigonometry is all over this profession.

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1.) Music is projected at many different angles, engineers use this knowledge to design rooms and soundproof. Knowing which ways the music will react. Another way that music uses trig is in production. They use many different computer programs in order to do this. The computer programs can allow a producer to see the sound waves that have been recorded as different types of graphs. These graphs are made using trig equations. The graphs allow the producers to visually see the pitch.

2.)
https://prezi.com/dvywvaiotn1y/music-trigonometry/
https://ourpastimes.com/how-is-trigonometry-used-in-music-12173241.html

3.) I chose music because I thought that there was no way trig way used but I guess through interesting ways trig can be shown. Music is used every day and I thought it would be interesting to read about.

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Emilio Martinez                          Trigonometry in Manufacturing 

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Emilio Martinez                          Trigonometry in Manufacturing 

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As I was researching about trigonometry I came past this article which said all the things trigonometry can be applied in our everyday and it came to by attention a part about trigonometry being used in the manufacturing industry. Trigonometry plays a major role in industry, I read it allows manufacturers to create everything from automobiles to zigzag scissors. Engineers in the industry rely on trigonometric relationships to determine the sizes and angles of mechanical parts used in machinery, tools and equipment. This math is a major role in automotive engineering, allowing car companies to size each part correctly and ensure they work safely together.
https://sciencing.com/use-trigonometry-architecture-6631509.html
I enjoyed learning about this because I am a big fan of cars and knowing trigonometry is a big part of making them makes me want to learn more about trigonometry. I don’t see myself particularly using it but it does interest me to help me understand more the designs of the car, etc.

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Trigonometry in construction
1. Trigonometry can be used in various ways outside the classroom, among them; construction. It is helpful for measuring fields, lots, and areas for construction, making walls parallel and perpendicular, installing tiles, calculating the roof inclination, and the height of a building or structure that is being constructed. Trigonometry can also be used in construction to calculate structural load, roof slopes, ground surfaces, and many other aspects, including sun shading and light angles. Although it may seem like there is no math used behind architecture and construction, there are actually a lot of calculations being made to ensure that the measurements are perfect.
2.https://www.embibe.com/exams/real-life-applications-of-trigonometry/
3. I have always been interested in architecture and design so I believe that learning about trigonometry will help me If I choose to apply these skills in the future.

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Written By Livia Ferrao

Last Modified 21-06-2023

Real-Life Applications of Trigonometry: Trigonometry simply means calculations with triangles. It is a study in mathematics that involves the lengths, heights, and angles of different triangles. The field emerged during the 2nd century Before the Common Era (BCE), from applications of geometry to astronomical studies, apart from mathematics, trigonometry has applications in the field of physics. If a student is able to grasp the various concepts of trigonometry in school, they are likely to score better in exams.

Trigonometry formulas have applications in various fields such as construction, design, and other branches of engineering. It is even applied to crime scene investigations. In this article, we have come up with detailed information on different real-life applications of Trigonometry in various fields of our life.

Real-Life Applications of Trigonometry

Before going to the details of its applications, let us answer a question:
Have you ever wondered what field of science first used trigonometry?
The immediate answer expected would be mathematics but it does not stop there, even physics uses a lot of concepts of trigonometry. According to Morris Kline, in his book named "Mathematical Thought from Ancient to Modern Times", proclaimed trigonometry was first developed in connection with astronomy, with applications to navigation and construction of calendars.

This was around 2000 years ago. Geometry is much older, and trigonometry is built upon geometry'. However, the origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia, and India more than 4000 years ago. Greek astronomer Hipparchus composed the first trigonometry table in 127 BCE.

Can Trigonometry Be Used in Everyday Life?

Trigonometry may not have its direct applications in solving practical issues, but it is used in various things that we enjoy so much. For example, music. As you know sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music.

A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. This means sound engineers need to know at least the basics of trigonometry. Real-life applications of Trigonometry have helped in the development of everyday human life activities. And the good music that these sound engineers produce is used to calm us from our hectic, stress full life - All thanks to trigonometry.

Trigonometry Can Be Used to Measure the Height of a Building or Mountains

If you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

Have you ever played the game, Mario? When you see him so smoothly glide over the roadblocks. He does not really jump straight along the Y-axis, it is a slightly curved path or a parabolic path that he takes to tackle the obstacles on his way. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

In construction we need trigonometry to calculate the following:

Measuring fields, lots, and areas;

Making walls parallel and perpendicular;

Installing ceramic tiles;

Roof inclination;

The height of the building, the width length, etc., and the many other such things where it becomes necessary to use trigonometry.

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces, and many other aspects, including sun shading and light angles.

Flight engineers have to take into account their speed, distance, and direction along with the speed and direction of the wind. Trigonometry table comes in handy for basic calculations. The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve.

For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

Trigonometry in Physics

In physics, trigonometry formula is used to find the components of vectors, model the mechanics of waves (both physical and electromagnetic) and oscillations, sum the strength of fields and use dot and cross products. Even in projectile motion, you have a lot of application of trigonometry.

Do Archaeologists Use Trigonometry?

Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilisation, and using trigonometry can help them in these excavates. They can also use it to measure the distance from underground water systems.

In criminology, trigonometry can help to calculate a projectile's trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot, etc.

Trigonometry in Marine Biology

Marine biologists often use trigonometry formula to establish measurements. For example, to find out how light levels at different depths affect the ability of algae to photosynthesise. Trigonometry is used in finding the distance between celestial bodies. Also, marine biologists utilise mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

In marine engineering, trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher-level areas, it can be a slope or even a staircase depending on its application.

Trigonometry Used in Navigation

Trigonometry is used to set directions such as the north-south or east-west. It tells you what direction to take with the compass to get in a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.

Other Uses of Trigonometry

Following are the other real-life applications of Trigonometry:

It is used in oceanography in calculating the height of tides in oceans.

The sine and cosine functions are fundamental to the theory of periodic functions, those that describe sound and light waves.

Calculus is made up of Trigonometry and Algebra.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings, etc.

It is used in the naval and aviation industries.

It is used in cartography (creation of maps).

Also, trigonometry has its applications in satellite systems.

FAQs on Real Life Applications of Trigonometry

Here are some of the frequently asked questions on real-life applications of trigonometry.

Q1: What is trigonometry and its applications?
Ans: Trigonometry has got a lot of applications in different areas of life including Engineering, Arts, Music, Games, etc.

Q2: What are 6 occupations that use trigonometry?
Ans: Six occupations that use trigonometry are:
(i) Marine Engineering
(ii) Game Development
(iii) Construction
(iv) Naval & Aviation
(vi) Criminology

Q3: Why do we need trigonometry?
Ans: Trigonometry is a very important part of Mathematics that is used in different fields of our life. To name a few, trigonometry formula help in construction, marine navigation and archaeology.

Q4: Who is the father of trigonometry?
Ans: Hipparchus is considered the father of trigonometry.

Q5: What are the applications of trigonometry Class 10?
Ans: Trigonometry for Class 10 helps us solve problems related to heights and distances, angle of elevation and depression etc.
To start practicing trigonometry, all you need is to click here! Embibe has plenty of tests and practice to help you prepare for your JEE Exams, absolutely.

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Real-Life Applications of Trigonometry: Examples

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Real life applications of Trigonometry will help you understand how the mathematical concept of Trigonometry is relevant in our daily life.

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1. Engineers who must build large structures, which could be very hard to measure, they use trigonometric functions instead which could help them inderstand what the measures of the structures are approximately. They must understand different forces acting on the structure so that they can ensure it will remain stable and structurally sound. Using trigonometry, they can find out different horizontal and vertical components of the forces acting on the structure.

2.-https://www.teachengineering.org/lessons/view/uno_handheld_lesson01

3.- I chose this application because I believe that engineering is one of the most important professions. Lives depend on how structurally sound buildings are, and if they are not well made with close attention to detail the building could easily collapse

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1)
Trigonometry is constantly being used in architecture in order to accurately calculate angles and measurements to form complex and even the simples buildings. While creating a model for the building that will be constructed, architects create mathematical representations to demonstrate their construction process and prove that the building will be stable.
2) https://www.exposedmagazine.co.uk/features/how-is-trigonometry-used-in-architecture/#:~:text=Trigonometry%20is%20what%20helps%20the,can%20use%20for%20construction%20purposes.
3)
I find it very fascinating how architects are able to design strange and diverse building and archicectual designs that seem to deffy gravity

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Architecture, the art of designing a building, is the process where architects produce a mathematical representation of a designer's model for a constructor so that he may use it for constructing purposes.

If we talk about trigonometry in architecture, it is everywhere!

How? Here are a few ways it is present in architecture.

Trigonometry is what helps the architects to calculate roof slopes, ground surfaces, light angles, structural loads, and height and width of structures to design a mathematical draft that a constructor can use for construction purposes. It's likely they'll have plenty of refillable notebooks as well as software to do this.

Trigonometry functions are what helps in drawing angles, calculating precision measurements, and determining the heights of the structures.

With the help of various trigonometric functions, an architect elucidates a designer's plan that can be easily understood and used by the constructor.

Finally, recall that architects are people who prepare scale-models that are later used by the constructors to build structures physically.

A Brief Introduction to Trigonometry

As per its definition, trigonometry is a branch of mathematics that studies relationships between angles and length of triangles ( "tri" means "three").

The field of trigonometry emerged in the 3rd century BC when astronomers used geometry to study astronomy. These 3rd-century astronomers were the first people who studied the relationship between the length and angles of a triangle.

After studying and in-depth research, they found that if the length of one angle is known, other angles of the triangle can be found with the help of a simple manual algorithm.

All their findings, later on, became known as trigonometry functions. In general, all trigonometry functions are associated with planar right-angle triangles.

Trigonometry in Architecture

To ensure the overall safety and material requirements, architects use the field of trigonometry.

Trigonometry functions are used to calculate heights of structures, light angles, exact intersection angles. Whether you are building an arch, dome, roller coaster, or suspension bridge, trigonometry will help the architect produce a scale model (mathematical representation) for a constructor.

Trigonometry not only helps with calculations of heights, roof slopes, ground surfaces, and light angles, but it also helps compute precision loads and forces. Recall that architects are not only responsible for designing mathematical representations of a designer's plan, but they also have to ensure that a building is functional and safe.

Further, sine and cosine functions in trigonometry help architects understand and calculate forces and loads.

In addition to building safety, architects are also responsible for calculating the budget to be used for the construction of the building. With the help of tangents in trigonometry, architects determine the budget plan for the project's whole construction.

How You Can Become an Architect

If you want to build your career in the architecture field, make sure you:

Get a degree in Architecture

Understand Trigonometry, Calculus, Geometry, Physics, Architectural theory, Architectural design, and modern printing techniques to become an excellent architect in the future. All these will help you make precise calculations when designing a plan.

Become an apprentice of a licensed architect.

After getting three-year experience as an apprentice of a licensed architect, you can become a licensed architect yourself by giving the "Architect Registration Exam".

These are but a few ways to get ahead in architecture by merely understanding the basics, including trigonometry.

Sheffield's ultimate entertainment and listings guide.

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How is Trigonometry used in Architecture? - Exposed Magazine

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Architecture, the art of designing a building, is the process where architects produce a mathematical representation of a designer's model for a constructor so that he may use it for constructing purposes. If we talk about trigonometry in architecture, it is everywhere! How? Here are a few ways it is present in architecture.

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1.  While searching online, I found that trigonometry could be used in astronomy. Since, it's often used to find the distance to nearby stars and other celestial objects using a method of parallax. Parallax can be defined as the apparent shift of a nearby star against the fixed background that can be noticed as the Earth orbits the Sun. Though astronomy has been in existence for thousands of years, it is only recently that trigonometry has been used in the process. And since then, astronomers can't work without it. An example of this could be; to find the distance from Venus to the Sun, astronomers used trigonometry, the Earth, the Sun and Venus form a triangle.

2.
https://prezi.com/npsmztfytcxp/trigonometry-and-astronomy/?frame=d0a38095a572551d258e21ed71357cce1382751e

3. While searching online, I found various ways that trigonometry could be applied, however I was looking for something more original.  After a while I found an article regarding the use of trigonometry in Astronomy, and so I did a little more research about it finding the information stated before. Although anything regarding space and the unknown has always spooked me out, I found interesting how people found the distance between two planets, it's not like they can take a measuring tape to space. I hardly think I study astronomy in a future or have anything to do with it, however, for this assignment it was fascinating finding this information.

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"What is Astronomy?" Astronomy is a branch of science that deals with celestial objects, space, and the universe as a whole. An expert in astronomy is generally given the name of as astronomer. Astronomers deal with math, especially trigonometry, every day of their lives.

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1) Trigonometry is used to show electromagnetic waves. Electromagnetic waves always move at the same rate and speed. they reach maximum and minimum points in their movement. These waves have frequency and wavelength. Electromagnetic radiation moves around the air. Trigonometric functions serve to determine the frequency and wavelength; it is used to understand the wave's motion and thus also understand its effects. The longer the wavelength, the less strong it is. Furthermore, trigonometry is also used with light waves. These differ slightly because the different sizes of the wavelengths of these waves show off a different color to the human color. So trigonometry helps by understanding what makes it possible for ovens, radios, phones, and our eyesight to work.

2)
- https://www.shmoop.com/computer-science/radar/trig-waves.html
- https://www.smore.com/h3ngm-you-are-impossible-without-trig

3) I find physics fascinating because it tries to figure out how and why our universe behaves the way it does; which is something I like to inquire about. I love math and physics is tied into it quite strongly.

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1. "Construction workers also use sine, cosine, and tangent in this way. They need to measure the sizes of lots, roof angles, heights of walls and widths of flooring, and even more."  If the workers math was incorrect this could have a serious problem further along into the building.  For example, if there was something wrong with the math behind the application of the roof, it could be possible for it to be not as stable as wanted.
2. https://www.mathnasium.com/real-life-applications-of-trigonometry#:~:text=Trigonometry%20is%20used%20to%20set,a%20point%20in%20the%20sea.
3. I've always been interested in doing something with building extravagant and large beautiful buildings, but I never really considered having to use math in this job.

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Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies. Trigonometry spreads its applications into various fields such as architects, surveyors, astronauts, physicists, engineers and even crime scene investigators.

Now before going to the details of its applications, let's answer a question have you ever wondered what field of science first used trigonometry?

The immediate answer expected would be mathematics but it doesn't stop there even physics uses a lot of concepts of trigonometry. Another answer According to Morris Kline, in his book named- Mathematical Thought from Ancient to Modern Times, proclaimed that 'trigonometry was first developed in connection with astronomy, with applications to navigation and construction of calendars. This was around 2000 years ago. Geometry is much older, and trigonometry is built upon geometry'. However, the origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and India more than 4000 years ago.

Starting from the basics,

Can trigonometry be used in everyday life?

Trigonometry may not have its direct applications in solving practical issues, but it is used in various things that we enjoy so much. For example music, as you know sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means sound engineers need to know at least the basics of trigonometry. And the good music that these sound engineers produce is used to calm us from our hectic, stress full life - All thanks to trigonometry.

Trigonometry can be used to measure the height of a building or mountains:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

Trigonometry in video games:

Have you ever played the game, Mario? When you see him so smoothly glide over the road blocks. He doesn't really jump straight along the Y axis, it is a slightly curved path or a parabolic path that he takes to tackle the obstacles on his way. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

Trigonometry in construction:

In construction we need trigonometry to calculate the following:

Measuring fields, lots and areas;

Making walls parallel and perpendicular;

Installing ceramic tiles;

Roof inclination;

The height of the building, the width length etc. and the many other such things where it becomes necessary to use trigonometry.

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.

Trigonometry in flight engineering:

Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind. The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

Trigonometry in physics:

In physics, trigonometry is used to find the components of vectors, model the mechanics of waves (both physical and electromagnetic) and oscillations, sum the strength of fields, and use dot and cross products. Even in projectile motion you have a lot of application of trigonometry.

Do archaeologists use trigonometry?

Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilization, using trigonometry can help them in these excavate. They can also use it to measure the distance from underground water systems.

Trigonometry in criminology:

In criminology, trigonometry can help to calculate a projectile's trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot etc.

Trigonometry in marine biology;

Marine biologists often use trigonometry to establish measurements. For example, to find out how light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Also, marine biologists utilize mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

Trigonometry in marine engineering:

In marine engineering trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher level areas, it can be a slope or even a staircase depending on its application.

Trigonometry used in navigation:

Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.

Other uses of trigonometry:

It is used in oceanography in calculating the height of tides in oceans.

The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves.

Calculus is made up of Trigonometry and Algebra.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc.

It is used naval and aviation industries.

It is used in cartography (creation of maps).

Also trigonometry has its applications in satellite systems.

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Real life applications of trigonometry | Mathnasium

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Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies.

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1) Trigonometry is used in geography. It is used   to set directions such as the north, south, east, west, it tells you what direction to take with the compass to get on a straight direction. Therefore, it is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea.
2) https://www.mathnasium.com/real-life-applications-of-trigonometry#:~:text=Trigonometry%20is%20used%20to%20set,a%20point%20in%20the%20sea.
3) I find it very interesting how trigonometry can be applied in some of the most necessary knowledge in geography, which is being able to set directions such as north south east and west. I am very exited to continue learning how trigonometry can be mixed with other sciences and how it is so fundamental in our daily life.

# data[].attributes.attachment_link.readable_text
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies. Trigonometry spreads its applications into various fields such as architects, surveyors, astronauts, physicists, engineers and even crime scene investigators.

Now before going to the details of its applications, let's answer a question have you ever wondered what field of science first used trigonometry?

The immediate answer expected would be mathematics but it doesn't stop there even physics uses a lot of concepts of trigonometry. Another answer According to Morris Kline, in his book named- Mathematical Thought from Ancient to Modern Times, proclaimed that 'trigonometry was first developed in connection with astronomy, with applications to navigation and construction of calendars. This was around 2000 years ago. Geometry is much older, and trigonometry is built upon geometry'. However, the origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and India more than 4000 years ago.

Starting from the basics,

Can trigonometry be used in everyday life?

Trigonometry may not have its direct applications in solving practical issues, but it is used in various things that we enjoy so much. For example music, as you know sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means sound engineers need to know at least the basics of trigonometry. And the good music that these sound engineers produce is used to calm us from our hectic, stress full life - All thanks to trigonometry.

Trigonometry can be used to measure the height of a building or mountains:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

Trigonometry in video games:

Have you ever played the game, Mario? When you see him so smoothly glide over the road blocks. He doesn't really jump straight along the Y axis, it is a slightly curved path or a parabolic path that he takes to tackle the obstacles on his way. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

Trigonometry in construction:

In construction we need trigonometry to calculate the following:

Measuring fields, lots and areas;

Making walls parallel and perpendicular;

Installing ceramic tiles;

Roof inclination;

The height of the building, the width length etc. and the many other such things where it becomes necessary to use trigonometry.

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.

Trigonometry in flight engineering:

Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind. The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

Trigonometry in physics:

In physics, trigonometry is used to find the components of vectors, model the mechanics of waves (both physical and electromagnetic) and oscillations, sum the strength of fields, and use dot and cross products. Even in projectile motion you have a lot of application of trigonometry.

Do archaeologists use trigonometry?

Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilization, using trigonometry can help them in these excavate. They can also use it to measure the distance from underground water systems.

Trigonometry in criminology:

In criminology, trigonometry can help to calculate a projectile's trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot etc.

Trigonometry in marine biology;

Marine biologists often use trigonometry to establish measurements. For example, to find out how light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Also, marine biologists utilize mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

Trigonometry in marine engineering:

In marine engineering trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher level areas, it can be a slope or even a staircase depending on its application.

Trigonometry used in navigation:

Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.

Other uses of trigonometry:

It is used in oceanography in calculating the height of tides in oceans.

The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves.

Calculus is made up of Trigonometry and Algebra.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc.

It is used naval and aviation industries.

It is used in cartography (creation of maps).

Also trigonometry has its applications in satellite systems.

# data[].attributes.attachment_link.title
Real life applications of trigonometry | Mathnasium

# data[].attributes.attachment_link.description
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies.

# data[].attributes.body
1. In criminology, trigonometry can help calculate a projectile's trajectory, to estimate what might have caused a car crash, the angle at which a bullet was shot, or the height of a building where a person fell. This can be mainly seen in the science department of forensics. Scientists use triangles to analyze the blood spatter on walls and criminals' footprints. Additionally, trigonometry is used for crucial calculations, which determine a person's state of living; whether someone goes to jail or stays free.
2. https://www.embibe.com/exams/real-life-applications-of-trigonometry/
https://www.irishtimes.com/news/science/a-forensic-formula-for-solving-crimes-1.2425640
3. I find it very interesting how trigonometry can be applied to the real world. At first, I thought it could only be applied in architecture and navigation. However, after researching a bit about its further applications I found out that trigonometry is used in crime-solving. Although I find this topic very interesting, I am not directed, career-wise, to crimonology.

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(Mateo del Valle)Trigonometry in video games

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(Mateo del Valle)Trigonometry in video games

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1) Trigonometry is applied in video games, for example Mario. When jumping over an obstacle, Mario does a smooth glide in a slightly curved path or parabolic. This is where trigonometry is applied, in that movement. Video games are created with It and computers, hence the importance of trigonometry being applied, to make a functioning video game.

2) https://www.mathnasium.com/real-life-applications-of-trigonometry (application 3)

3) I ante to learn about this particular application of trigonometry, because although I do not want to create video games, I do enjoy playing them. And by understanding how video games are made, like such application of trigonometry, it helps me understand the mechanics of the game better. Making it a better gaming experience because you understand a very important function.

# data[].attributes.attachment_link.readable_text
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies. Trigonometry spreads its applications into various fields such as architects, surveyors, astronauts, physicists, engineers and even crime scene investigators.

Now before going to the details of its applications, let's answer a question have you ever wondered what field of science first used trigonometry?

The immediate answer expected would be mathematics but it doesn't stop there even physics uses a lot of concepts of trigonometry. Another answer According to Morris Kline, in his book named- Mathematical Thought from Ancient to Modern Times, proclaimed that 'trigonometry was first developed in connection with astronomy, with applications to navigation and construction of calendars. This was around 2000 years ago. Geometry is much older, and trigonometry is built upon geometry'. However, the origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and India more than 4000 years ago.

Starting from the basics,

Can trigonometry be used in everyday life?

Trigonometry may not have its direct applications in solving practical issues, but it is used in various things that we enjoy so much. For example music, as you know sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means sound engineers need to know at least the basics of trigonometry. And the good music that these sound engineers produce is used to calm us from our hectic, stress full life - All thanks to trigonometry.

Trigonometry can be used to measure the height of a building or mountains:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

Trigonometry in video games:

Have you ever played the game, Mario? When you see him so smoothly glide over the road blocks. He doesn't really jump straight along the Y axis, it is a slightly curved path or a parabolic path that he takes to tackle the obstacles on his way. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

Trigonometry in construction:

In construction we need trigonometry to calculate the following:

Measuring fields, lots and areas;

Making walls parallel and perpendicular;

Installing ceramic tiles;

Roof inclination;

The height of the building, the width length etc. and the many other such things where it becomes necessary to use trigonometry.

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.

Trigonometry in flight engineering:

Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind. The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

Trigonometry in physics:

In physics, trigonometry is used to find the components of vectors, model the mechanics of waves (both physical and electromagnetic) and oscillations, sum the strength of fields, and use dot and cross products. Even in projectile motion you have a lot of application of trigonometry.

Do archaeologists use trigonometry?

Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilization, using trigonometry can help them in these excavate. They can also use it to measure the distance from underground water systems.

Trigonometry in criminology:

In criminology, trigonometry can help to calculate a projectile's trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot etc.

Trigonometry in marine biology;

Marine biologists often use trigonometry to establish measurements. For example, to find out how light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Also, marine biologists utilize mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

Trigonometry in marine engineering:

In marine engineering trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher level areas, it can be a slope or even a staircase depending on its application.

Trigonometry used in navigation:

Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.

Other uses of trigonometry:

It is used in oceanography in calculating the height of tides in oceans.

The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves.

Calculus is made up of Trigonometry and Algebra.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc.

It is used naval and aviation industries.

It is used in cartography (creation of maps).

Also trigonometry has its applications in satellite systems.

# data[].attributes.attachment_link.title
Real life applications of trigonometry | Mathnasium

# data[].attributes.attachment_link.description
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies.

# data[].attributes.body
1) Trigonometry is used in Computer Science for the computer graphics. It's used to manipulate the size or shapes of an object.  Soh Cah Toa is the foundation for computer graphics and one of the bases you need to know for computer science. It's easier to create and modify computer graphics when you know how to calculate angles, the distance between points, how to work and create arcs, circles, and lines. All this basic trigonometric information allows people to code to create nice pleasant graphics for the eye and allow the computer to look more organized.
2)https://www.khanacademy.org/computing/computer-programming/programming-natural-simulations/programming-angular-movement/a/trigonometry#:~:text=Yes%2C%20soh%20cah%20toa.,circles%2C%20arcs%2C%20or%20lines.
3) I feel like it's interesting that we use the computer every day but we don't know how the graphics are made and how truly work. I also want to take AP computer science next year so it's nice to know some basic information.

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Trigonometry (article) | Angular Movement | Khan Academy

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If you're seeing this message, it means we're having trouble loading external resources on our website.

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Eduardo Legorreta Trigonometry  Manufacturing Industry

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Eduardo Legorreta Trigonometry  Manufacturing Industry

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As I came upon Trigonometry and its major uses in the world I was immediately astounded. Architecture is used in Trigonometry for calculating the correct angles of structures. For example when an engineer determines the length of cables, the height of support towers, and the angle between the two when gauging weight loads and bridge strength he is using trigonometry to find the accurate angles. It also allows builders to correctly lay out a curved wall, figure the proper slope of a roof or the correct height and rise of a stairway.

https://sciencing.com/real-life-applications-trigonometry-7769833.html

Immediately I found a website that used Trigonometry to make music production and also focused in architecture. I was intrigued with architecture because I foresee it as one of my options of what I want to do in life.

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Trigonometry, the branch of mathematics that describes the relationship between the angles and lengths of triangles, helped early explorers plot the stars and navigate the seas. Nowadays, trigonometry is found in everything from architecture to zigzag scissors. While it may seem as if trigonometry is never used outside of the classroom, you may be surprised to learn just how often trigonometry and its applications are encountered in the real world.

Much of architecture and engineering relies on triangular supports. When an engineer determines the length of cables, the height of support towers, and the angle between the two when gauging weight loads and bridge strength, trigonometry helps him to calculate the correct angles. It also allows builders to correctly lay out a curved wall, figure the proper slope of a roof or the correct height and rise of a stairway. You can also use trigonometry at home to determine the height of a tree on your property without the need to climb dozens of feet in the air, or find the square footage of a curved piece of land.

Trigonometry plays a major role in musical theory and production. Sound waves travel in a repeating wave pattern, which can be represented graphically by sine and cosine functions. A single note can be modeled on a sine curve, and a chord can be modeled with multiple sine curves used in conjunction with one another. A graphical representation of music allows computers to create and understand sounds. It also allows sound engineers to visualize sound waves so that they can adjust volume, pitch and other elements to create the desired sound effects. Trigonometry plays an important role in speaker placement as well, since the angles of sound waves hitting the ears can influence the sound quality.

Modern power companies use alternating current to send electricity over long-distance wires. In an alternating current, the electrical charge regularly reverses direction to deliver power safely and reliably to homes and businesses. Electrical engineers use trigonometry to model this flow and the change of direction, with the sine function used to model voltage. Every time you flip on a light switch or turn on the television, you're benefiting from one of trigonometry's many uses.

Trigonometry plays a major role in industry, where it allows manufacturers to create everything from automobiles to zigzag scissors. Engineers rely on trigonometric relationships to determine the sizes and angles of mechanical parts used in machinery, tools and equipment. This math plays a major role in automotive engineering, allowing car companies to size each part correctly and ensure they work safely together. Trigonometry is also used by seamstresses where determining the angle of darts or length of fabric needed to craft a certain shape of skirt or shirt is accomplished using basic trigonometric relationships.

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What Are Some Real-Life Applications of Trigonometry?

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Trigonometry, the branch of mathematics that describes the relationship between the angles and lengths of triangles, helped early explorers plot the stars and navigate the seas. Nowadays, trigonometry is found in everything from architecture to zigzag scissors.

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   Patricio Vazquez                                                 ------------                 Geometry assumes a significant part in industry, where it permits makers to make everything from cars to crisscross scissors. Designers use these geometrical connections to decide the sizes and points of mechanical parts utilized in instruments and gear. This assumes a significant part in car designing, permitting vehicle companies to estimate each part correctly and guarantee they work securely together.

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   Patricio Vazquez                                                 ------------                 Geometry assumes a significant part in industry, where it permits makers to make everything from cars to crisscross scissors. Designers use these geometrical connections to decide the sizes and points of mechanical parts utilized in instruments and gear. This assumes a significant part in car designing, permitting vehicle companies to estimate each part correctly and guarantee they work securely together.

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https://www.vedantu.com/maths/application-of-trigonometry

I myself would like to learn about trigonometry since i have a small passion for plane building, which like car manufacturing requires trigonometric functions to measure parts of the plane im building

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The trigonometry word is derived from the Greek word 'trigonon' which means triangle and 'metron' which means measure. It is the 16 century Latin derivative. The concept of trigonometry was given by Greek Mathematician Hipparchus. According to Victor Katz in "A History of Mathematics (3 edition)", trigonometry developed primarily from the needs of Greek and Indian Astronomers.

Trigonometry is the most important concept in Mathematics. It plays an important role in almost all the fields whether its Aviation, Physics, Criminology, Military, etc. Trigonometry is used for finding the angles or the sides of the triangle.

Right- Angled Triangle:

Here in the figure, a right- angled triangle is shown having hypotenuse (the longest side), base (adjacent), height (opposite), and angle .

This triangle is of great importance because if anyone wants to find the direct distance

and angle then that can be easily found using this as shown below.

The basic functions of trigonometry are sine, cosine, and tangent. The other three cosecant, secant, and cotangent are the reciprocal of sine, cosine, and tangent respectively.

Trigonometric ratios are:

Trigonometric Angles:

Unit Circle:

The concept of unit circle is used to find the angle. Since the circle is at origin and have unity radius it is easy to directly find the sine, cosine and tangent.

Trigonometric Formula:

Trigonometric identities and formulae are based on right- angled triangle:

If A, B, and C are angles and a, b, and c are the sides of a triangle then,

Trigonometry Applications in Daily Life:

Trigonometry has a wide range of applications in our everyday life. Trigonometry is used in calculus, astronomy, aviation, etc.It has vital uses in the military and also in Marine Biology. The fields where trigonometry is used are

It is also helpful to measure the height of the mountain, pillar, etc.

The use of Trigonometry to Measure the Height of a Mountain or a Building:

From the angle of elevation, the height (z) can easily be measured.

Applying the trigonometric ratios for finding z in the figure above,

If the angle is known, then,

This is how the height can be measured.

Basically, the height of the mountain or building can be easily measured using the trigonometric ratios. Consider the base of the mountain or building as adjacent and the height as opposite, then the third longest part of the triangle will be hypotenuse as shown above in the figure. Triangle should be right- angled triangle. Hence, this is the real-life application of trigonometry.

Trigonometry in Aviation:

Incase of aviation, wind plays a most important role. In aviation the angle of depression and the angle of elevation is used depending on the case. Angle of depression is when the line of sight to the object is below the horizontal line and the angle of elevation is when the line of sight to the object is above the horizontal line.

The wind of flight direction is considered as the two perpendicular sides of a right- angled triangle in which the speed of the flight and the speed of wind are measured in their direction.

Explanation: From the above figure, the distance between the plane and the final point is one of the perpendicular distance. The distance of the plane from the ground is another perpendicular distance. Slant distance is the hypotenuse.

For this, trigonometric ratios are used for finding the distance or angle of aviation.

Trigonometry in Criminology:

In criminology, trigonometry can be used to find the shots of bullet or how tall the shooter was. This helps the police in the investigation. For this also trigonometric ratios are used i.e., sine, cosine, tangent. This is also the real-life application of trigonometry.

From the figure, it can be clearly seen that the triangulation is done through which the distance and angle can be found.

Trigonometry in Marine Biology:

Marine Biology is the study of marine life. In marine biology, the biologists study about marine life like about plant, animals and other organisms that live there.

In marine biology, for predicting how far and at what angle the organism or plant is from the observer, trigonometry concepts are used.

the depth of the object is the height

slant distance is the line of sight

Angle could be angle of depression or angle of elevation, it depends on the observer who is observing.

Hence, trigonometry ratio and formula are used for finding the distance, angle.

Hence the exact location of the underwater living or non- living things can be measured easily with the help of trigonometry ratios sine, cosine and tangent. Hence, this is again a real life application of trigonometry.

Trigonometry in Navigation :

In navigation, controlling and monitoring of moving vehicles are studied. In this, the movement of the plane, ships, submarines, etc is studied. Navigation is of many types- marine navigation, aeronautical navigation, space navigation, and land navigation. Navigation is the study of moving objects and the angle or distance is measured using the concept of trigonometry at that point where we have to measure.

To measure the exact location of the moving body, compass, pinpoint poles, trigonometric ratios and formula are used.

Other Uses of Trigonometry:

Trigonometry is used everywhere.

Trigonometry can be used in video games. Mario the most famous video game is based on trigonometric functions. Its jump, trajectory all are measured using trigonometry.

Trigonometry is also used in sound waves and light waves.

In construction, trigonometry is widely used for inclination of the roof. Trigonometry is used to define the relationship between the sides of the roof and the inclination of the roof.

In the creation of any geographical map, trigonometry is used.

In satellite, trigonometry is used. Where the satellite is and at what angle this all can be easily measured using the trigonometry. Exact location or position of the satellite can be easily measured using the trigonometric ratios.

# data[].attributes.attachment_link.description
The trigonometry word is derived from the Greek word 'trigonon' which means triangle and 'metron' which means measure. It is the 16 century Latin derivative. The concept of trigonometry was given by Greek Mathematician Hipparchus. According to Victor Katz in "A History of Mathematics (3 edition)", trigonometry developed primarily from the needs of Greek and Indian Astronomers.

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Natalia Ruiz - Trigonometry in Game Development

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Natalia Ruiz - Trigonometry in Game Development

# data[].attributes.body
1) Trigonometry is a totally different topic than much of the math we've seen before, and it requires a different mindset to grasp. As a result, when trig comes up in school, many students just want to get it over with. Trigonometric functions are used in the majority of games to get desirable results. Various trigonometric functions are commonly used in order to compute the angle of a triangle with a 900-degree corner. The locations and speeds of the items should be inscribed as X and Y while building a game. However, triangles are employed to calculate the values of locations and speeds, and trigonometry is required to determine the value of x and y so that the game can run. You can solve complicated design challenges and come up with novel and creative solutions using trigonometry. Trigonometry is used in a variety of fields, including physics, 3D modeling, architecture, dynamic analysis, and kinematics.

2) https://www.mathnasium.com/real-life-applications-of-trigonometry

3) I wanted to learn about this particular application since I have been very familiar with video games since I was little. I do not wish to study something similar to this application. However, I find it to be extremely interesting how math is used in many ways in the day to day life, including things such as video games.

# data[].attributes.attachment_link.readable_text
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies. Trigonometry spreads its applications into various fields such as architects, surveyors, astronauts, physicists, engineers and even crime scene investigators.

Now before going to the details of its applications, let's answer a question have you ever wondered what field of science first used trigonometry?

The immediate answer expected would be mathematics but it doesn't stop there even physics uses a lot of concepts of trigonometry. Another answer According to Morris Kline, in his book named- Mathematical Thought from Ancient to Modern Times, proclaimed that 'trigonometry was first developed in connection with astronomy, with applications to navigation and construction of calendars. This was around 2000 years ago. Geometry is much older, and trigonometry is built upon geometry'. However, the origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and India more than 4000 years ago.

Starting from the basics,

Can trigonometry be used in everyday life?

Trigonometry may not have its direct applications in solving practical issues, but it is used in various things that we enjoy so much. For example music, as you know sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means sound engineers need to know at least the basics of trigonometry. And the good music that these sound engineers produce is used to calm us from our hectic, stress full life - All thanks to trigonometry.

Trigonometry can be used to measure the height of a building or mountains:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

Trigonometry in video games:

Have you ever played the game, Mario? When you see him so smoothly glide over the road blocks. He doesn't really jump straight along the Y axis, it is a slightly curved path or a parabolic path that he takes to tackle the obstacles on his way. Trigonometry helps Mario jump over these obstacles. As you know Gaming industry is all about IT and computers and hence Trigonometry is of equal importance for these engineers.

Trigonometry in construction:

In construction we need trigonometry to calculate the following:

Measuring fields, lots and areas;

Making walls parallel and perpendicular;

Installing ceramic tiles;

Roof inclination;

The height of the building, the width length etc. and the many other such things where it becomes necessary to use trigonometry.

Architects use trigonometry to calculate structural load, roof slopes, ground surfaces and many other aspects, including sun shading and light angles.

Trigonometry in flight engineering:

Flight engineers have to take in account their speed, distance, and direction along with the speed and direction of the wind. The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph. Trigonometry will help to solve for that third side of your triangle which will lead the plane in the right direction, the plane will actually travel with the force of wind added on to its course.

Trigonometry in physics:

In physics, trigonometry is used to find the components of vectors, model the mechanics of waves (both physical and electromagnetic) and oscillations, sum the strength of fields, and use dot and cross products. Even in projectile motion you have a lot of application of trigonometry.

Do archaeologists use trigonometry?

Trigonometry is used to divide up the excavation sites properly into equal areas of work. Archaeologists identify different tools used by the civilization, using trigonometry can help them in these excavate. They can also use it to measure the distance from underground water systems.

Trigonometry in criminology:

In criminology, trigonometry can help to calculate a projectile's trajectory, to estimate what might have caused a collision in a car accident or how did an object fall down from somewhere, or in which angle was a bullet shot etc.

Trigonometry in marine biology;

Marine biologists often use trigonometry to establish measurements. For example, to find out how light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Also, marine biologists utilize mathematical models to measure and understand sea animals and their behaviour. Marine biologists may use trigonometry to determine the size of wild animals from a distance.

Trigonometry in marine engineering:

In marine engineering trigonometry is used to build and navigate marine vessels. To be more specific trigonometry is used to design the Marine ramp, which is a sloping surface to connect lower and higher level areas, it can be a slope or even a staircase depending on its application.

Trigonometry used in navigation:

Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea. It is also used to see the horizon.

Other uses of trigonometry:

It is used in oceanography in calculating the height of tides in oceans.

The sine and cosine functions are fundamental to the theory of periodic functions, those that describe the sound and light waves.

Calculus is made up of Trigonometry and Algebra.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc.

It is used naval and aviation industries.

It is used in cartography (creation of maps).

Also trigonometry has its applications in satellite systems.

# data[].attributes.attachment_link.title
Real life applications of trigonometry | Mathnasium

# data[].attributes.attachment_link.description
Trigonometry simply means calculations with triangles (that's where the tri comes from). It is a study of relationships in mathematics involving lengths, heights and angles of different triangles. The field emerged during the 3rd century BC, from applications of geometry to astronomical studies.

# data[].attributes.body
1. In land surveying, trigonometry is used in the calculation of lengths, areas, and relative angles between objects. On a larger scale, trigonometry is used in geography to measure distances between landmarks.

2. https://en.wikipedia.org/wiki/Trigonometry#Surveying

3. Here I learned that trigonometry heavily influences surveying since it is needed for most of their measurements of things such as lengths, areas and relative angles between objects. In addition that if we view the bigger picture of surveying, that being geography, it is still utilized to measure things such as distance between landmarks.

# data[].attributes.attachment_link.description
Trigonometry (from Greek trigōnon, “triangle” and metron, “measure”[1]) is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2] T…

# data[].attributes.body
1. Trigonometry is used to study crime scenes and figure out the direction the blood has come from, and depending on this, it can reveal information about the crime that took place. Specific details like the angle at which the bullet was shot, the distance, and the blood source/sources can be determined, and this information is obtained by maths  is useful in forensics.
2.
https://www.irishtimes.com/news/science/a-forensic-formula-for-solving-crimes-1.2425640
https://www.youtube.com/watch?v=0jltioeaEyY

3. I found this application really interesting, since I didn't think that forensics used math to study a crime scene. I also believe that it is interesting to see how math is in our surroundings.

# data[].attributes.attachment_link.title
Title: 11 Criminology ideas | criminology, forensics, criminal psychology