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BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    The period of\[f(x)=\sin \frac{2\pi x}{3}+\cos \frac{\pi x}{2}\] is

    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.


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