A) 3
B) 4
C) 6
D) 12
Correct Answer: D
Solution :
Since, \[\sin \frac{2\pi x}{3}\]and \[\cos \frac{\pi x}{2}\]are periodic functions with periods \[\frac{2\pi }{2\pi /3}=3\] and\[\frac{2\pi }{\pi /2}=4,\] respectively. Therefore, \[f(x)\] is periodic with period and equal to LCM of 3 and 4, i.e. 12.You need to login to perform this action.
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