JEE Main 2024 Mathematics question

MathematicsInverse Trigonometric FunctionsJEE Main 2024

If a = sin⁻¹(sin(5)) and b = cos⁻¹(cos(5)), then a² + b² is equal to

Answer: (D)

Solution

The principal values: sin⁻¹(sin 5) = 5 − 2π (since 5 is in (3π/2, 2π)) and

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Question ID VK-017266