The value of sin⁻¹[sin(2π/3)] + cos⁻¹[cos(4π/3)] is: A. π/2 B. π C. π/3 D. 2π/3 Answer: B) π Explanation: sin⁻¹(sin 2π/3) = π/3 (principal value). cos⁻¹(cos 4π/3) = cos⁻¹(−1/2) = 2π/3. Sum = π/3 + 2π/3 = π.

imo class 12 inverse trigonometric functions

The value of sin⁻¹[sin(2π/3)] + cos⁻¹[cos(4π/3)] is:

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The value of sin⁻¹[sin(2π/3)] + cos⁻¹[cos(4π/3)] is:

Answer: B) π

Explanation: sin⁻¹(sin 2π/3) = π/3 (principal value). cos⁻¹(cos 4π/3) = cos⁻¹(−1/2) = 2π/3. Sum = π/3 + 2π/3 = π.