JEE Main & Advanced Mathematics Inverse Trigonometric Functions Question Bank Critical Thinking

  • question_answer
    The principal value of \[{{\sin }^{-1}}\left[ \sin \left( \frac{2\pi }{3} \right) \right]\]is [IIT 1986]

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

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

    C) \[\frac{4\pi }{3}\]

    D) None of these

    Correct Answer: D

    Solution :

     The principal value of \[{{\sin }^{-1}}\left[ \sin \left( \pi -\frac{2\pi }{3} \right) \right]\] \[={{\sin }^{-1}}\sin \left( \frac{\pi }{3} \right)=\frac{\pi }{3}\] .


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