Trigonometric Ratio And Identites

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 :