imo class 12 inverse trigonometric functions

The value of tan⁻¹(tan(3π/4)) is:

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The value of tan⁻¹(tan(3π/4)) is:

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

Answer: B) −π/4

Explanation: 3π/4 is outside (−π/2, π/2). tan(3π/4) = tan(π − π/4) = −tan(π/4) = tan(−π/4). Hence the value is −π/4.

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