imo class 12 inverse trigonometric functions

The value of tan(cos⁻¹(4/5) + tan⁻¹(2/3)) is:

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The value of tan(cos⁻¹(4/5) + tan⁻¹(2/3)) is:

  • A. 17/6
  • B. 6/17
  • C. 1
  • D. 13/6

Answer: A) 17/6

Explanation: cos⁻¹(4/5) = tan⁻¹(3/4). tan(tan⁻¹(3/4) + tan⁻¹(2/3)) = (3/4 + 2/3) / (1 − (3/4)(2/3)) = (17/12) / (6/12) = 17/6.

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