Question

simplify csc x - cos x cot x

Answer 1

\[\frac{1}{\sin x}-\cos x \times \frac{cosx}{\sin x}=\frac{1}{\sin x}-\frac{\cos ^2x}{\sin x}=\]
\[\frac{1-\cos ^2x}{\sin x}=\frac{\sin ^2x}{\sin x}=\sin x\]