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

  • question_answer
    The formula \[{{\sin }^{-1}}\{2x(1-{{x}^{2}})\}=2si{{n}^{-1}}x\] is true for all values of x lying in the interval

    A) \[[-1,1]\]

    B) \[[0,1]\]

    C) \[[-1,0]\]

    D) \[\left[ -1/\sqrt{2},1/\sqrt{2} \right]\]

    Correct Answer: D

    Solution :

    [d] \[{{\sin }^{-1}}\{2x(1-{{x}^{2}})\}=2si{{n}^{-1}}x\] is true \[\forall x\in \left[ -\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}} \right]\]


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