Question
If cot$\alpha$ = 1 and sec$\beta$ = $ - {5 \over 3}$, where $\pi < \alpha < {{3\pi } \over 2}$ and ${\pi \over 2} < \beta < \pi $, then the value of $\tan (\alpha + \beta )$ and the quadrant in which $\alpha$ + $\beta$ lies, respectively are :