imo class 12 inverse trigonometric functions

The principal value of tan⁻¹(−1) is:

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

The principal value of tan⁻¹(−1) is:

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

Answer: C) −π/4

Explanation: tan⁻¹(−x) = −tan⁻¹(x) = −π/4, which lies in (−π/2, π/2).

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