imo class 12 inverse trigonometric functions

Principal value of sin⁻¹[cos(sin⁻¹(1/2))] is:

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Principal value of sin⁻¹[cos(sin⁻¹(1/2))] is:

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

Answer: A) π/3

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

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