Question

I tried solving this and I got the 2nd option. Is it correct?

Answer 1

Explanation

We are required to determine the double angle for sin 120°.

We know that the double angle identity states thus:

So. we have:

$\begin{gathered} \sin2\theta=2\sin\theta\cos\theta \\ \sin120\degree=\sin2(60\degree)=2\sin60\degree\cos60\degree \\ \Rightarrow2(\frac{\sqrt{3}}{2})(\frac{1}{2})=\frac{\sqrt{3}}{2} \end{gathered}$

Hence, the answer is:

$\frac{\sqrt{3}}{2}$

The second option is correct.