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

  • question_answer
    The value of x which satisfies the equation \[{{\tan }^{-1}}x=\] \[{{\sin }^{-1}}\left( \frac{3}{\sqrt{10}} \right)\] is  [Pb. CET 1999]

    A) 3

    B) -3

    C) \[\frac{1}{3}\]

    D) \[-\frac{1}{3}\]

    Correct Answer: A

    Solution :

      Given, \[{{\tan }^{-1}}x={{\sin }^{-1}}\left[ \frac{3}{\sqrt{10}} \right]\] Þ \[x=\tan \left\{ {{\sin }^{-1}}\left[ \frac{3}{\sqrt{10}} \right] \right\}\,=\tan \,\,\{{{\tan }^{-1}}3\}\]Þ  x = 3.


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