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

  • question_answer
    If \[{{\sin }^{-1}}\frac{1}{2}={{\tan }^{-1}}x,\]then x =

    A)   \[\sqrt{3}\]

    B) \[\frac{1}{\sqrt{3}}\]

    C) \[\frac{1}{\sqrt{2}}\]

    D) None of these

    Correct Answer: B

    Solution :

    Given that \[{{\sin }^{-1}}\frac{1}{2}={{\tan }^{-1}}x\] \[\Rightarrow \,\,{{\tan }^{-1}}x=\frac{\pi }{6}\]\[\Rightarrow \,\,x=\tan {{30}^{o}}=\frac{1}{\sqrt{3}}\].


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