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

  • question_answer
    The principal value of \[{{\sin }^{-1}}\left( -\,\,\frac{\sqrt{3}}{2} \right)\]is [Roorkee 1992]

    A) \[\frac{-2\pi }{3}\]

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

    C) \[\frac{-2\pi }{3}\]

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

    Correct Answer: B

    Solution :

      \[{{\sin }^{-1}}\,\left( \frac{-\sqrt{3}}{2} \right)=-{{\sin }^{-1}}\left( \frac{\sqrt{3}}{2} \right)=-\frac{\pi }{3}\].


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