Question

what is sin 60°?

Explanation:

Step1: Recall the definition of sine in coordinate system

In the unit - circle coordinate system, for a point \((x,y)\) on the terminal side of an angle \(\theta\), \(\sin\theta=y\).

Step2: Locate the \(y\) - coordinate for \(60^{\circ}\)

Looking at the given graph, the point corresponding to \(60^{\circ}\) is \((\frac{1}{2},\frac{\sqrt{3}}{2})\).

Answer:

\(\frac{\sqrt{3}}{2}\)