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J & K CET Engineering J and K - CET Engineering Solved Paper-2011

  • question_answer
    \[f(x)=|\sin \,2x|+|\cos \,2x|\] is a periodic function with period

    A)  \[\pi \]

    B)  \[\frac{\pi }{2}\]

    C)  \[\frac{\pi }{4}\]

    D)  \[\frac{\pi }{8}\]

    Correct Answer: C

    Solution :

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


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