imo class 12 inverse trigonometric functions

The domain of f(x) = √(sin⁻¹(x)) is:

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The domain of f(x) = √(sin⁻¹(x)) is:

  • A. [-1, 1]
  • B. [0, 1]
  • C. [-1, 0]
  • D. (0, 1]

Answer: B) [0, 1]

Explanation: sin⁻¹(x) must be non-negative for the square root to be a real number. sin⁻¹(x) ≥ 0 means x is in [0, 1].

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