A) \[\frac{\pi }{3}\]
B) \[\frac{\pi }{4}\]
C) \[\frac{\pi }{6}\]
D) \[\pi \]
Correct Answer: D
Solution :
\[f(x)=\cos e{{c}^{2}}3x+\cot 4x\] Period of \[\cos e{{c}^{2}}3x\]is \[\frac{\pi }{3}\]and \[\cot 4x\]is \[\frac{\pi }{4}.\] \[\therefore \]Period of \[f(x)=\]LCM of \[\left( \frac{\pi }{3}\text{and}\,\frac{\pi }{4} \right)\] \[=\frac{\text{LCM}\,\text{of}\,(\pi ,\pi )}{\text{HCF}\,\text{of}\,(3,4)}\] \[=\frac{\pi }{1}=\pi \]
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