imo class 12 inverse trigonometric functions

The range of f(x) = cos⁻¹(x) + π/2 is:

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The range of f(x) = cos⁻¹(x) + π/2 is:

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

Answer: C) [π/2, 3π/2]

Explanation: The range of cos⁻¹(x) is [0, π]. Adding π/2 to all values yields [π/2, 3π/2].

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