imo class 12 inverse trigonometric functions

The principal value of cot⁻¹(−1) is:

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#IMO#Class 12#Mathematics#Inverse Trigonometric Functions#mathematical-reasoning

The principal value of cot⁻¹(−1) is:

  • A. −π/4
  • B. 3π/4
  • C. π/4
  • D. 5π/4

Answer: B) 3π/4

Explanation: cot⁻¹(−x) = π − cot⁻¹(x) = π − π/4 = 3π/4, which lies in (0, π).

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