Simplify (sec(x)sin(x))/(tan(x))

$\frac{\sec (x) \sin (x)}{\tan (x)}$

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

Cancel the common factor.

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

Rewrite the expression.

$1$