prove that SinA/1+CosA=tanA/2

LHS = \frac{\sin A}{1 + \cos A} = \frac{2 \sin (\frac{A}{2}) . \cos (\frac{A}{2})}{2 \cos^{2} (\frac{A}{2})} = \frac{2 \sin (\frac{A}{2}) . \cos (\frac{A}{2})}{2 \cos (\frac{A}{2}) . \cos (\frac{A}{2})} = \frac{\sin (\frac{A}{2})}{\cos (\frac{A}{2})} = \tan (\frac{A}{2}) = RHS

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