imo class 12 inverse trigonometric functions

The range of the function f(x) = 3 sin⁻¹(x) is:

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The range of the function f(x) = 3 sin⁻¹(x) is:

  • A. [-π/2, π/2]
  • B. [-3π/2, 3π/2]
  • C. [0, 3π]
  • D. [-π, π]

Answer: B) [-3π/2, 3π/2]

Explanation: The range of sin⁻¹(x) is [-π/2, π/2]. Multiplying all values by 3 gives [-3π/2, 3π/2].

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