Question

The function $f\left(x\right)=\left|sin4x\right|+\left|cos2x\right|,$ is a periodic function with period :

• A. $2\pi$
• B. $\pi$
• C. $\frac{\pi }{2}$
• D. $\frac{\pi }{4}$

Answer 1

Answer: (C)

$|sinx|+|cosx|$ is periodic with period $\frac{\pi }{2}$.
Hence, $f\left(x\right)=|sin4x|+|cos2x|$
is also periodic function with period $\frac{\pi }{2}$