Evaluate tan(theta)*csc(theta)

$\tan (θ) \cdot \csc (θ)$

Step 1

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

Rewrite $\tan (θ) \cdot \csc (θ)$ in terms of sines and cosines.

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

Cancel the common factors.

$\frac{1}{\cos (θ)}$

Step 2

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

$\sec (θ)$