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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The period of the function \[f(x)=2\sin x+3\cos 2x\]is

    A) \[\pi \]                                 

    B) \[2\pi \]

    C) \[\frac{\pi }{2}\]                                              

    D)  None of these

    Correct Answer: B

    Solution :

    \[2\sin x\] is a periodic function of period \[2\pi \] and\[3\cos 2x\]is a periodic function of\[\pi \]. \[\therefore \]  \[f(x)=2\sin x+3\cos 2x\] has period LCM of\[\{\pi ,\,\,2\pi \}=2\pi \]


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