Evaluate cot(theta)*sec(theta)

$\cot (θ) \cdot \sec (θ)$

Rewrite in terms of sines and cosines, then cancel the common factors.

Rewrite $\cot (θ) \cdot \sec (θ)$ in terms of sines and cosines.

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

Cancel the common factors.

$\frac{1}{\sin (θ)}$

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

$\csc (θ)$