imo class 12 inverse trigonometric functions

The value of tan⁻¹(√3) − sec⁻¹(−2) is:

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The value of tan⁻¹(√3) − sec⁻¹(−2) is:

  • A. −π/3
  • B. π/3
  • C. 2π/3
  • D. −2π/3

Answer: A) −π/3

Explanation: tan⁻¹(√3) = π/3. sec⁻¹(−2) = π − sec⁻¹2 = π − π/3 = 2π/3. Difference = π/3 − 2π/3 = −π/3.

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