Inverse Trigonometric Functions JEE Main 2025

JEE MAIN 2025

24-01-2025 SHIFT-1

Question

If for some $\alpha ,\beta ;\alpha \le \beta ,\alpha + \beta = 8$ and ${\sec ^2}\left( {{{\tan }^{ - 1}}\alpha } \right) + {{\mathop{\rm cosec}\nolimits} ^2}\left( {{{\cot }^{ - 1}}\beta } \right) = 36$ , then ${\alpha ^2} + \beta $ is ________.

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JEE Main

Mathematics

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