JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)If for some α,β\alpha, \betaα,β; α≤β\alpha \leq \betaα≤β, α+β=8\alpha + \beta = 8α+β=8 and sec2(tan−1α)+csc2(cot−1β)=36\sec^2(\tan^{-1} \alpha) + \csc^2(\cot^{-1} \beta) = 36sec2(tan−1α)+csc2(cot−1β)=36, then α2+β\alpha^2 + \betaα2+β isYour answerInteger or decimalCheckStep-by-step hintSkip · show solution