A) \[2\pi \]
B) \[\pi \]
C) \[\frac{2\pi }{3}\]
D) \[\frac{\pi }{2}\]
E) \[\frac{\pi }{4}\]
Correct Answer: D
Solution :
\[f(x)=|\sin 2x|+|\cos 8x|\] Time period of \[|\sin 2x|=\frac{\pi }{2}\] Time period of\[|\cos 8x|=\frac{\pi }{8}\] Now, time period of\[f(x)=\]LCM of\[\left\{ \frac{\pi }{2},\frac{\pi }{8} \right\}\] \[=\frac{\pi }{2}\]
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