Step 1 :\( \frac{-\cos^{2}x (1-\cos x)}{(1+\sin x)(1-\cos x)}+\frac{\sin^{2}x (1+\sin x)}{(1+\sin x)(1-\cos x)} -\cos x \)
Step 2 :\( \frac{-(1+\sin x)+\sin^{2}x(1+\sin x)}{(1+\sin x)(1-\cos x)}-\cos x \)
Step 3 :\( \frac{-(1+\sin x) +\sin x (1-\cos x)}{(1+\sin x)(1-\cos x)} \)