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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

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

    A)  \[\frac{\pi }{6}\]                                             

    B)  \[\frac{\pi }{4}\]

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

    D)  \[\pi \]

    Correct Answer: D

    Solution :

                    At\[x=n+x,\]then \[f(\pi +x)=|\sin (\pi +x)+\cos (\pi +x)|\]                 \[=|-\sin x-\cos x|\]                 \[=|\sin x+\cos x|\] Hence, period is\[\pi \].


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