#### Answer

$$\sin300^\circ=2\sin150^\circ\cos150^\circ$$
24 is with D.

#### Work Step by Step

$$\sin300^\circ$$
We rewrite $300^\circ$ as double the angle $150^\circ$. In detail,
$$\sin300^\circ=\sin(2\times150^\circ)$$
This fact points to the use of the double identity for sine, stating that
$$\sin(2A)=2\sin A\cos A$$
Therefore, for $A=150^\circ$:
$$\sin300^\circ=2\sin150^\circ\cos150^\circ$$
The equation indicates that 24 should be matched with D.