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Maths Tutorial: Trigonometry SOH CAH TOA (trigonometric ratios)

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Find the midpoint of the given points: (-7,14) (15,9)
(-7+15/2, 14+9/2)
(8/2,23/2)
(4,11.5)

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To find the sine, cosine, and tangent you can use SOH CAH TOA, which gives you the equations to each ratio. You use SOH to find the sine, and the equation is opposite/hypotenuse, SOH. You use CAH to find the cosine by using adjacent/hypotenuse, CAH. You use TOA to find the tangent by using opposite/hypotenuse, TOA. To find the midpoint you use the equation to the left, and pretty much just solve each equation like you would for any other one.

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To find the sine you use the formula/equation opposite/hypotenuse. Its purpose is to find the sine of the triangle.
To find the cosine you use the formula adjacent/hypotenuse. Its purpose is to find the cosine of the triangle.
To find the tangent you use the formula opposite/adjacent. Its purpose is to find the tangent if the triangle.
An example of a proportion formula is: a/b=c/d, then b/a=d/c.. The purpose is to find the proportions of the triangle.
The midpoint formula is (x1+x2/2, y1+y2/2). The purpose is to find the midpoint of something like a line or shape.

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Hypotenuse: The longest side of a right triangle, opposite the right angle.
Opposite: The side opposite of the angle you are looking at.
adjacent: The side adjacent to the angel you are looking at.
Cos: the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
Tan: The length of the opposite side divided by the length of the adjacent side.
Sin: The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Proportion: A proportion is a name we give to a statement that two ratios are equal.
Midpoint:  A point on a line segment that divides it into two equal parts. The halfway point of a line segment.
Similar triangles: If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar.
Trigonometric ratios: Ratios of two sides of a right triangle and a related angle.
Angle of elevation: Angle is elevation is the angle between the horizontal and the line of sight to an object above the horizontal.
Angle of depression: Angle of depression is the angle between the horizontal and the line of sight to an object beneath the horizontal.