Simplify (csc(x)cos(x))/(cot(x))

$\frac{\csc (x) \cos (x)}{\cot (x)}$

Step 1

Rewrite $\csc (x)$ in terms of sines and cosines.

$\frac{\frac{1}{\sin (x)} \cos (x)}{\cot (x)}$

Step 2

Rewrite $\cot (x)$ in terms of sines and cosines.

$\frac{\frac{1}{\sin (x)} \cos (x)}{\frac{\cos (x)}{\sin (x)}}$

Step 3

Combine $\frac{1}{\sin (x)}$ and $\cos (x)$ .

$\frac{\frac{\cos (x)}{\sin (x)}}{\frac{\cos (x)}{\sin (x)}}$

Step 4

Cancel the common factor of $\frac{\cos (x)}{\sin (x)}$ .

Cancel the common factor.

$\frac{\frac{\cos (x)}{\sin (x)}}{\frac{\cos (x)}{\sin (x)}}$

Rewrite the expression.

$1$