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List of top Mathematics Questions on Inverse Trigonometric Functions

The number of solutions of \( \sin^{-1} x + \sin^{-1} (1 - x) = \cos^{-1} x \) is:
  • WBJEE - 2025
  • WBJEE
  • Mathematics
  • Inverse Trigonometric Functions
If \( \cos^{-1} \alpha + \cos^{-1} \beta + \cos^{-1} \gamma = 3\pi \), then the value of \( \alpha(\beta+\gamma) + \beta(\gamma+\alpha) + \gamma(\alpha+\beta) \) is:
  • WBJEE - 2025
  • WBJEE
  • Mathematics
  • Inverse Trigonometric Functions
If $ y = \tan^{-1}\left(\frac{2x}{1 - x^2}\right) $, then $ \frac{dy}{dx} $ is:
  • BITSAT - 2025
  • BITSAT
  • Mathematics
  • Inverse Trigonometric Functions
If $ f(x) = \sin^{-1}(2x\sqrt{1 - x^2}) $, then $ f'(x) $ is:
  • BITSAT - 2025
  • BITSAT
  • Mathematics
  • Inverse Trigonometric Functions
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