Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    If\[n\in N\], then\[|\sin nx|\]

    A) \[\le n|\sin x|\]                               

    B) \[\ge n|\sin x|\]

    C) \[=n|\sin x|\]   

    D)         None of these

    Correct Answer: A

    Solution :

    Let\[T=|\sin nx|\] Put\[n=2\], then                 \[T=|\sin 2x|\]                     \[=|2\sin x\cos x|\,\,\le 2|\sin x|\]


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