imo class 12 inverse trigonometric functions

Evaluate: tan⁻¹(1/2) + tan⁻¹(1/3) equals:

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Evaluate: tan⁻¹(1/2) + tan⁻¹(1/3) equals:

  • A. π/4
  • B. π/2
  • C. π/3
  • D. π/6

Answer: A) π/4

Explanation: tan⁻¹(1/2) + tan⁻¹(1/3) = tan⁻¹((1/2+1/3)/(1−1/2×1/3)) = tan⁻¹((5/6)/(5/6)) = tan⁻¹(1) = π/4.

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