Question

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

Answer 1

Solve the given trigonometric function.

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

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

$=\frac{\cos x-\sin x}{{(\cos x+\sin x)}^2}$

Hence,this is the answer.