The principal value of sin⁻¹(sin 5π/6) is:
The principal value of sin⁻¹(sin 5π/6) is:
- A. 5π/6
- B. π/6
- C. 7π/6
- D. −π/6
Answer: B) π/6
Explanation: 5π/6 is not in the principal value branch [−π/2, π/2]. sin⁻¹(sin 5π/6) = sin⁻¹(sin(π − π/6)) = sin⁻¹(sin π/6) = π/6.
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