Question

How do trigonometric ratios relate angle measures to side lengths of right triangles? Remember to use all three.

Answer 1

`sin\alpha=(opposite)/(hypotenuse)`

`cos\alpha=(adjacent)/(hypotenuse)`

`tan\alpha=(opposite)/(adjacent)`

Explanation:

By definition, a right triangle is a triangle that has an angle of 90 degrees.

The basic trigonometric ratios are: sine, cosine and tangent.

Then, in a right triangle you can find the sine, the cosine or tangent of either of the non-90 degrees angles.

Given the right triangle shown in the image, you can find sine, cosine or tangent of the angle
`\alpha` as following:

`sin\alpha=(opposite)/(hypotenuse)`

`cos\alpha=(adjacent)/(hypotenuse)`

`tan\alpha=(opposite)/(adjacent)`