Simplify 1/(cos(x))*(sin(x))/(cos(x))

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

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

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