imo class 12 inverse trigonometric functions

The domain of f(x) = √(sin⁻¹x) is:

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The domain of f(x) = √(sin⁻¹x) is:

  • A. [0, 1]
  • B. [−1, 1]
  • C. [0, π/2]
  • D. (0, 1)

Answer: A) [0, 1]

Explanation: √(sin⁻¹x) is defined when sin⁻¹x ≥ 0 and x ∈ [−1, 1]. sin⁻¹x ≥ 0 ⇒ x ≥ 0, and x ≤ 1, so the domain is [0, 1].

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