Simplify (sec(x))/(csc(x))

$\frac{\sec (x)}{\csc (x)}$

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

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

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

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

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (x)}$ .

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

Convert from $\frac{\sin (x)}{\cos (x)}$ to $\tan (x)$ .

$\tan (x)$