If $\sin heta = \frac{\sqrt3}{2}$, then the value of $2\sqrt3\cdot...

Question

If $\sin	heta = \frac{\sqrt3}{2}$, then the value of $2\sqrt3\cdot\cos\frac{	heta}{2}$ is:

Accepted Answer

$\sin	heta=\frac{\sqrt3}{2} \Rightarrow 	heta = 60°$, so $\frac{	heta}{2}=30°$, $\cos30° = \frac{\sqrt3}{2}$. $$2\sqrt3 	imes \frac{\sqrt3}{2} = 3$$