# Question #b05eb

The period is $\frac{\pi}{2}$
The expression has the form $2 \sin \left(A\right) \cos \left(A\right)$ where $A = 2 x$.
$\sin \left(2 A\right) = 2 \sin \left(A\right) \cos \left(A\right)$, so we can rewrite the given expression as $\sin \left(4 x\right)$. The period of a sine function is $P = \frac{2 \pi}{B}$, where $B$ is the coefficient of $x$, so the period is $\frac{2 \pi}{4} = \frac{\pi}{2}$.