JEE Main 2024 Mathematics question
Given the inverse trigonometric function assumes principal values only. Let x, y be any two real numbers in [−1, 1] such that cos⁻¹x − sin⁻¹y = α, . Then, the minimum value of x² + y² + 2xy sin α is
Answer: (B)
Solution
Put A = cos⁻¹x and B = sin⁻¹y, so α = A − B. Then x² + y² + 2xy sin α = cos²A cos²B + sin²A sin²B +
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