imo class 12 inverse trigonometric functions

The value of cos⁻¹(cos 13π/6) is:

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The value of cos⁻¹(cos 13π/6) is:

  • A. 13π/6
  • B. π/6
  • C. 5π/6
  • D. 7π/6

Answer: B) π/6

Explanation: 13π/6 = 2π + π/6. cos(13π/6) = cos(π/6). Since π/6 ∈ [0, π] (principal branch of cos⁻¹), cos⁻¹(cos 13π/6) = π/6.

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