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 $\frac{\pi }{2}$.
$\left| {\sin \,x} \right| + \left| {\cos \,x} \right|$ 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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