Question

what are the input and output values for determining the sine of 60°?
input: 60°; output: $\frac{sqrt{3}}{2}$
input: 60°; output: $\frac{2}{sqrt{3}}$
input: $\frac{sqrt{3}}{2}$; output: 60°
input: $\frac{2}{sqrt{3}}$; output: 60°

Explanation:

Step1: Recall sine - definition

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Identify sides for 60°

For $\angle B = 60^{\circ}$, opposite is $8\sqrt{3}$, hypotenuse is 16. So $\sin60^{\circ}=\frac{8\sqrt{3}}{16}=\frac{\sqrt{3}}{2}$

Answer:

Input: $60^{\circ}$; output: $\frac{\sqrt{3}}{2}$