I am having trouble doing this identity.
$$\frac{\cos{A}\cot{A}-\sin{A}\tan{A}}{\csc{A}-\sec{A}} \equiv 1+\cos A\sin A$$
I am stuck I simplified it to.
$$\frac{\cos^{2}{A}\div\sin{A} -\sin^{2}{A}\div\cos{A}}{1\div\sin{A}-1\div\cos{A}}$$
I am in trouble because I know not what to do.