JEE Main & Advanced Mathematics Inverse Trigonometric Functions Question Bank Self Evaluation Test - Inverse Trigonometric Functions

  • question_answer
    Which of the following is the principal value branch of \[\cos e{{c}^{-1}}x?\]

    A) \[\left( \frac{-\pi }{2},\frac{\pi }{2} \right)\]

    B) \[(0,\pi )-\left[ \frac{\pi }{2} \right]\]

    C) \[\left[ \frac{-\pi }{2},\frac{\pi }{2} \right]\]

    D) \[\left[ \frac{-\pi }{2},\frac{\pi }{2} \right]-\{0\}\]

    Correct Answer: D

    Solution :

    [d] Principal value branch of \[\cos e{{c}^{-1}}\,x\] \[=\left[ \frac{-\pi }{2},\frac{\pi }{2} \right]-\{0\}\]


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