A) \[2\pi \]
B) \[3\pi \]
C) \[\frac{3\pi }{2}\]
D) \[\pi \]
E) \[\frac{\pi }{2}\]
Correct Answer: D
Solution :
\[|\sin x|\]and\[|\cos x|\]are periodic functions with period \[\pi \]. \[\therefore \]\[|\sin x|+|\cos x|\]is periodic with period is the LCM Of \[(\pi ,\pi )=\pi \] \[\therefore \]Period of \[|\sin x|+|\cos x|=\pi \].
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