Question

which trig function do you use? sine cosine tangent

Explanation:

Step1: Recall trigonometric function definitions

$$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}},\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}},\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$$

Step2: Identify sides relative to given angle

For the \(37^{\circ}\) angle, we know the hypotenuse (\(AB = 11\)) and we want to find the side \(AC\) (opposite to the \(37^{\circ}\) angle). Since \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\), we use the sine function.

Answer:

Sine