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

  • question_answer
    \[\sec (\text{cose}{{\text{c}}^{-1}}x)\] is equal to  [Kurukshetra CEE 2001]

    A) \[\text{cosec}({{\sec }^{-1}}x)\]

    B) \[\cot x\]

    C) \[\pi \]

    D) None of these

    Correct Answer: A

    Solution :

      We know that sec (cosec-1x) = cosec(sec-1 x)                                                \[=\frac{|x|}{\sqrt{{{x}^{2}}-1}}\]for\[|x|\,>\,1\].


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