The function f ( x ) = | ,4x | + | ,2x |, is a periodic function … - Vidyadip

MCQ

The function $f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos \,2x} \right|$, is a periodic function with period

A
$2 \pi $
B
$\pi $
✓
$\frac{\pi}{2}$
D
$\frac{\pi}{4}$

✓

Answer

Correct option: C.

$\frac{\pi}{2}$

c
$\left| {\sin \,x} \right| + \left| {\cos \,x} \right|$ is periodic with oeriod $\frac{\pi }{2}$.

Hence, $f\left( x \right) = \left| {\sin \,4x} \right| + \left| {\cos 2\,x} \right|$

is also periodic function with period $\frac{\pi }{2}$

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