If sin⁻¹x + sin⁻¹y = π/2, then x² + y² equals: A. 0 B. 1 C. 2 D. 1/2 Answer: B) 1 Explanation: Let sin⁻¹x = θ, then sin⁻¹y = π/2 − θ. So y = sin(π/2 − θ) = cos θ = √(1 − x²). Squaring, y² = 1 − x² → x² + y² = 1.

imo class 12 inverse trigonometric functions

If sin⁻¹x + sin⁻¹y = π/2, then x² + y² equals:

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If sin⁻¹x + sin⁻¹y = π/2, then x² + y² equals:

Answer: B) 1

Explanation: Let sin⁻¹x = θ, then sin⁻¹y = π/2 − θ. So y = sin(π/2 − θ) = cos θ = √(1 − x²). Squaring, y² = 1 − x² → x² + y² = 1.