imo class 12 inverse trigonometric functions

The principal value of cos⁻¹(cos 7π/6) is:

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The principal value of cos⁻¹(cos 7π/6) is:

  • A. 7π/6
  • B. 5π/6
  • C. π/6
  • D. −π/6

Answer: B) 5π/6

Explanation: cos⁻¹(cos θ) = 2π − θ if θ ∈ [π, 2π]. 7π/6 ∈ [π, 2π]. So cos⁻¹(cos 7π/6) = 2π − 7π/6 = 5π/6.

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