imo class 12 inverse trigonometric functions

The value of cot⁻¹(−1/√3) is:

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The value of cot⁻¹(−1/√3) is:

  • A. π/3
  • B. 2π/3
  • C. 5π/6
  • D. π/6

Answer: B) 2π/3

Explanation: cot⁻¹(−x) = π − cot⁻¹(x). cot⁻¹(1/√3) = π/3. So cot⁻¹(−1/√3) = π − π/3 = 2π/3, which lies in (0, π).

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