Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    The value of\[{{\cos }^{-1}}\left( \cos \frac{7\pi }{6} \right)\]is

    A) \[\frac{7\pi }{6}\]            

    B)                        \[\frac{5\pi }{6}\]

    C) \[\frac{5\pi }{6}\]                            

    D)        \[\frac{13\pi }{6}\]

    Correct Answer: C

    Solution :

    \[{{\cos }^{-1}}\left( \cos \frac{7\pi }{6} \right)={{\cos }^{-1}}\left( \cos \left( 2\pi -\frac{5\pi }{6} \right) \right)\]                 \[={{\cos }^{-1}}\left( \cos \left( \frac{5\pi }{6} \right) \right)=\frac{5\pi }{6}\]


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