MathematicsMedium45×since 2004Q5638If 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 :A−17- {1 \over 7}−71 and IV^th quadrantB7 and I^st quadrantC−-−7 and IV^th quadrantD17{1 \over 7}71 and I^st quadrantCheck answerSkip