imo class 12 inverse trigonometric functions

The value of tan⁻¹[2 sin(2 cos⁻¹(√3/2))] is:

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The value of tan⁻¹[2 sin(2 cos⁻¹(√3/2))] is:

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

Answer: A) π/3

Explanation: cos⁻¹(√3/2) = π/6. 2 cos⁻¹(√3/2) = π/3. sin(π/3) = √3/2. 2 sin(π/3) = √3. tan⁻¹(√3) = π/3.

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