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Manipal Engineering Manipal Engineering Solved Paper-2010

  • question_answer
    The period of the function\[f(x)=|\sin 4x|+|\cos 4x|\]is

    A) \[\pi /2\]                                             

    B) \[\pi /8\]

    C) \[\pi /4\]                             

    D)         None of these

    Correct Answer: B

    Solution :

    Since, \[|\sin x|+|\cos x|\]is a periodic function with period\[\pi /2\]. \[\therefore \]\[f(x)=|\sin 4x|+|\cos 4x|\]is a periodic function with period\[\frac{1}{4}.\frac{\pi }{2}ie,\,\,\frac{\pi }{8}\].


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