Simplify 1/(sin(theta)cos(theta))

$\frac{1}{\sin (θ) \cos (θ)}$

Separate fractions.

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

Convert from $\frac{1}{\sin (θ)}$ to $\csc (θ)$ .

$\frac{1}{\cos (θ)} \csc (θ)$

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

$\sec (θ) \csc (θ)$