Period of |sin2x| + |cos8x| is

$\frac{\pi}{2}$ $\frac{\pi}{8}$ $\frac{\pi}{16}$ None of these

$\frac{\pi}{2}$

Clearly period of $|\sin 2 x|=\frac{\pi}{2}$ and period of $|\cos 8 x|=\frac{\pi}{8}$. Hence period $=\frac{\pi}{2}$ Hence (1) is the correct answer.