imo class 12 inverse trigonometric functions

The value of tan⁻¹(2) + tan⁻¹(3) is:

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The value of tan⁻¹(2) + tan⁻¹(3) is:

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

Answer: B) 3π/4

Explanation: Since x=2, y=3 and xy > 1, the formula is π + tan⁻¹((2+3)/(1−2×3)) = π + tan⁻¹(−1) = π − π/4 = 3π/4.

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