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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 :

$ - {1 \over 7}$ and IVth quadrant
7 and Ist quadrant
$-$7 and IVth quadrant
$ {1 \over 7}$ and Ist quadrant

Solution

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