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

  • question_answer
    \[{{\cos }^{-1}}\frac{1}{2}+2{{\sin }^{-1}}\frac{1}{2}\]is equal to [MP PET 1998; UPSEAT 2004]

    A) \[\frac{\pi }{4}\]

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

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

    D) \[\frac{2\pi }{3}\]

    Correct Answer: D

    Solution :

      \[{{\cos }^{-1}}\frac{1}{2}+2{{\sin }^{-1}}\frac{1}{2}=\frac{\pi }{3}+\frac{2\pi }{6}=\frac{2\pi }{3}\].


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