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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    The maximum value and minimum value of \[8\sin \theta \cos \theta +4cos\theta 2\theta \] is

    A)  4 and \[-\,\,4\]              

    B)  16 and \[-\,\,16\]

    C)  \[4\sqrt{2}\]and \[-\,\,4\sqrt{2}\] 

    D)  None of these

    Correct Answer: C

    Solution :

    Here, \[8\sin \theta \cos \theta +4\cos 2\theta =4\sin 2\theta +4\cos 2\theta \] So, maximum value\[=\sqrt{{{4}^{2}}+{{4}^{2}}}=4\sqrt{2}\] and minimum value \[=-\,\,\sqrt{{{4}^{2}}+{{4}^{2}}}=-\,\,4\sqrt{2}\]


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