$\begin{array}{1 1} (1)\large\frac{1}{\alpha}=\frac{1}{\beta} +1 \\ (2) \alpha = \large\frac{\beta}{1- \beta} \\ (3) \alpha= \frac{\beta}{1+\beta} \\ (4) \alpha = \frac{\beta ^2}{1+\beta^2} \end{array} $