JEE Main 202228 Jun, Evening shiftMathematicsMediumTrigonometry118× since 2002If cotα\alphaα = 1 and secβ\betaβ = −53- {5 \over 3}−35, where π<α<3π2\pi < \alpha < {{3\pi } \over 2}π<α<23π and π2<β<π{\pi \over 2} < \beta < \pi2π<β<π, then the value of tan(α+β)\tan (\alpha + \beta )tan(α+β) and the quadrant in which α\alphaα + β\betaβ lies, respectively are :AOption A. −17- {1 \over 7}−71 and IV^th quadrantBOption B. 7 and I^st quadrantCOption C. −-−7 and IV^th quadrantDOption D. 17{1 \over 7}71 and I^st quadrantCheckSkip · show solution
