Period of $|\sin 2x | + |\cos 8x|$ is

$π/2$ $π/3$ $π/16$ none of these

$π/2$

Clearly period of $|\sin 2x |=\frac{π}{2}$ and period of $|\cos 8x|=\frac{π}{8}$ Now L.C.M. $\left(\frac{π}{8},\frac{π}{2}\right)=\frac{π}{2}$ ⇒ Period of the given function is $\frac{π}{2}$