imo class 12 inverse trigonometric functions

The value of sin⁻¹(sin(2π/3)) is:

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The value of sin⁻¹(sin(2π/3)) is:

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

Answer: B) π/3

Explanation: 2π/3 is outside [−π/2, π/2]. We write sin(2π/3) = sin(π − π/3) = sin(π/3). So, sin⁻¹(sin(π/3)) = π/3.

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