Question

Simplify $\frac{{\sin }^{2}x}{1+\cos x}$

Answer 1

Given $\frac{{\sin }^{2}x}{1+\cos x}$

$=\frac{1-{\cos }^{2}x}{1+\cos x}$

$=\frac{(1-\cos x)(1+\cos x)}{(1+\cos x)}$

$=1-\cos x$

Hence, this is the answer.