Question

if you are given the opposite side and hypotenuse, which trig function should you use? tangent cosine sine

Explanation:

Step1: Recall trigonometric ratios

For a right triangle, the core ratios are:
$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$,
$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$,
$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Match given sides to ratio

The problem provides the opposite side and hypotenuse, which matches the sine ratio.

Answer:

sine