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MathsJEE Main 6 Apr 2026, Shift 2·Q13·MCQ·Easy–moderate

Inverse Trigonometry · Inverse trigonometric function equations

If sin⁡(tan⁡−1(x2))=cot⁡(sin⁡−11−x2)\sin\left(\tan^{-1}(x\sqrt2)\right) = \cot\left(\sin^{-1}\sqrt{1 - x^2}\right), x∈(0,1)x \in (0, 1), then the value of xx is:
  1. (1)12\dfrac12
  2. (2)13\dfrac13
  3. (3)23\dfrac23
  4. (4)58\dfrac58

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