JEE Main & Advanced Mathematics Inverse Trigonometric Functions Question Bank Inverse trigonometric functions

  • question_answer
    The value of \[{{\cos }^{-1}}\left( \cos \frac{5\pi }{3} \right)+{{\sin }^{-1}}\left( \cos \frac{5\pi }{3} \right)\]is [UPSEAT 2003]

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

    B) \[\frac{5\pi }{3}\]

    C) \[\frac{10\pi }{3}\]

    D) \[0\]

    Correct Answer: A

    Solution :

      \[{{\cos }^{-1}}\left[ \cos \frac{5\pi }{3} \right]+{{\sin }^{-1}}\left[ \frac{\cos 5\pi }{3} \right]=\frac{\pi }{2}\](Q \[{{\sin }^{-1}}x+{{\cos }^{-1}}x=\frac{\pi }{2}\]).


You need to login to perform this action.
You will be redirected in 3 sec spinner