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

Question

asked Jan 17, 2020 196k views

1 Answer

Emilee · Answer 1 · 2020-01-21T07:08:55+0000

Answer:

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

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

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

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:

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

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

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