MATH SOLVE

2 months ago

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

Accepted Solution

A:

Answer: [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]Step-by-step 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 [tex]\alpha[/tex] as following: [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]