JEE Main 202330 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If the solution of the equation logcosxcotx+4logsinxtanx=1,x∈(0,π2)\log _{\cos x} \cot x+4 \log _{\sin x} \tan x=1, x \in\left(0, \frac{\pi}{2}\right)logcosxcotx+4logsinxtanx=1,x∈(0,2π), is sin−1(α+β2)\sin ^{-1}\left(\frac{\alpha+\sqrt{\beta}}{2}\right)sin−1(2α+β), where α\alphaα, β\betaβ are integers, then α+β\alpha+\betaα+β is equal to :AOption A. 3BOption B. 6COption C. 4DOption D. 5CheckSkip · show solution
