https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y Made with serendipity en-us 2021-02-06 20:45:11 UTC 2025-05-05 16:01:31 UTC hello@padlet.com mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172051251 2021-02-06 20:53:06 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172051251 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172051930 2021-02-06 20:53:42 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172051930 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052196 2021-02-06 20:53:53 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052196 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052396 2021-02-06 20:54:06 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052396 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052670 2021-02-06 20:54:22 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172052670 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172060139 A circle centered at the origin with radius 1]]> 2021-02-06 21:00:51 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172060139 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172067612 2021-02-06 21:07:46 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172067612 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172069510 2021-02-06 21:09:33 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172069510 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172070127 2021-02-06 21:10:12 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172070127 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172078095 2021-02-06 21:17:09 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172078095 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172078569 2021-02-06 21:17:36 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172078569 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172079334 2021-02-06 21:18:15 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172079334 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172080031 2021-02-06 21:18:58 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172080031 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172081383 2021-02-06 21:20:17 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172081383 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172081551 2021-02-06 21:20:25 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172081551 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172083637 2021-02-06 21:22:30 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172083637 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172084135 2021-02-06 21:23:01 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172084135 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172106817 2021-02-06 21:44:58 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172106817 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172107149 2021-02-06 21:45:20 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172107149 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172107361 2021-02-06 21:45:30 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172107361 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172113134 2021-02-06 21:51:03 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172113134 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172114569 2021-02-06 21:52:11 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172114569 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172114907 2021-02-06 21:52:33 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172114907 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172121378 2021-02-06 21:59:24 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172121378 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172121505 They are easy to recognize since:
x= cosine
y= sine]]> 2021-02-06 21:59:33 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172121505 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172124239 2021-02-06 22:02:27 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172124239 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172124427 Since the Pythagorean theorem says "a^2+b^2=h^2"
And in the unit circle hypothenuse (radius) =1, a (y)= sin, and b (x)= cos we are left with ]]> 2021-02-06 22:02:37 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172124427 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172139563 45° are equivalent to π/2.
A triangle with 45° is isosceles, hence, the x and y coordinates are the same, and so are the sin and cosine.]]> 2021-02-06 22:09:36 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172139563 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172143295 2021-02-06 22:13:20 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172143295 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172144567 We double the triangle to get an equilateral triangle; from there we can get the cosine knowing the radius is 1 and the sine is 1/2]]> 2021-02-06 22:14:43 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172144567 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172149609 2021-02-06 22:19:48 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172149609 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172152554 when we obtain this measurements we know the first quadrant of the unit circle.]]> 2021-02-06 22:22:59 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172152554 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172154360 2021-02-06 22:25:03 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172154360 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172156002 2021-02-06 22:26:46 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172156002 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172157231 2021-02-06 22:27:45 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172157231 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172158793 The smallest and largest number that can be input of the function.]]> 2021-02-06 22:29:27 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172158793 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172159341 the smallest and largest number that can be an output of the function.]]> 2021-02-06 22:30:07 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172159341 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172160867 The input to the sine and cosine can be any real number.]]> 2021-02-06 22:31:54 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172160867 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172161945 Since the x coordinate has a limit of [-1,1] the range of the sine and cosine functions is bounded by it and is the same: [-1,1]]]> 2021-02-06 22:33:00 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172161945 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172165781 It is the smallest angle that can be made by the terminal side of a given angle and the x axis]]> 2021-02-06 22:37:01 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172165781 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172169661 2021-02-06 22:41:17 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172169661 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172171769 The absolute values of the cosine and sine of the starting angle will be the same as the ones of the reference angle.]]> 2021-02-06 22:43:56 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172171769 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172173260 The sign of the value of the sine and cosine will depend of the quadrant where the original angle was.]]> 2021-02-06 22:45:33 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172173260 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172178788 2021-02-06 22:51:40 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172178788 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172179145 we can observe how the reference angle is 45, hence, the cosine and sine absolute value will not vary.]]> 2021-02-06 22:52:04 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172179145 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172181137 2021-02-06 22:54:14 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172181137 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172182151 We can use symmetry to find out and fill the sine and cosine values of the unit circle by understanding their relationship with the x-axis and y-axis and the coordinates. Including the positive and negative values of the x-axis and y-axis ]]> 2021-02-06 22:55:33 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172182151 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172184819 2021-02-06 22:58:51 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172184819 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172185774 If we pay attention we notice a pattern on the shape and measurements of the quadrants, that being said we find the sine and cosine as similar and repetitive places on coordinates. ]]> 2021-02-06 22:59:54 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172185774 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193136 2021-02-06 23:09:40 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193136 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193484 2021-02-06 23:10:08 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193484 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193834 2021-02-06 23:10:37 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172193834 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172194465 2021-02-06 23:11:21 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172194465 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172194791 As students everybody knows time has a lot more value than money, but most of the times you memorize things to "optimize time" you have to exponentially increase the time you saved when the topic is already forgotten. Memorizing its faster but understanding last longer.]]> 2021-02-06 23:11:46 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172194791 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172196646 If you understand the first quadrant and associate the coordinates and signs you just have to apply your knowledge and forget about memorizing.]]> 2021-02-06 23:14:07 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172196646 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172197690 Most of the time you face a long problem you waste your time. At first, while thinking how long it is, and then you lose focus and by consequence do not understand what is really being asked. Do not panic and focus on the "what are they asking" instead of "how long and complicated is the question". ]]> 2021-02-06 23:15:39 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172197690 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172200088 Even though the words are important, the information is mostly gathered on the question, read the question first and then search for the numbers you need to solve the problem.]]> 2021-02-06 23:18:51 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172200088 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172201103 we all know how different we are from one another, do not try to do the things that work on the majority and start doing the things that work on yourself. You do not have to use the most common method but the most efficient of them. You can change your methods between subjects, it is definitely not the same to study math as to study chemistry nor biology nor history. Take your time to define the method that works for you, it will save you time in the long term.]]> 2021-02-06 23:20:22 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172201103 mariacopoamador001 https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172203342 Know your strong points and your weakness. Are you good at memorizing? Are you a quick learner? Do you understand better while doing exercises or listening an explanation? 
Use your strengths and work them out to improve.]]> 2021-02-06 23:23:18 UTC https://padlet.com/mariacopoamador001/pvhe2cedhlfn6j1y/wish/1172203342