$VT=\dfrac{\sin\alpha + \cos\alpha}{\sin\alpha - \cos\alpha}$
$=\dfrac{(\sin\alpha + \cos\alpha)^2}{(\sin\alpha -\cos\alpha)(\sin\alpha + \cos\alpha)}$
$=\dfrac{\sin^2\alpha + \cos^2\alpha+2\sin\alpha.\cos\alpha}{\sin^2a-\cos^2\alpha}$
$=\dfrac{1+2\sin\alpha.\cos\alpha}{\sin^2\alpha-\cos^2\alpha}$