imo class 12 inverse trigonometric functions

The value of tan⁻¹(1/2) + tan⁻¹(1/3) is:

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The value of tan⁻¹(1/2) + tan⁻¹(1/3) is:

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

Answer: A) π/4

Explanation: Using tan⁻¹(x) + tan⁻¹(y) = tan⁻¹((x+y)/(1−xy)) since xy < 1. tan⁻¹((1/2 + 1/3) / (1 − 1/6)) = tan⁻¹(1) = π/4.

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