Answer
$\dfrac{1}{\cos{\theta}} $
Work Step by Step
Since $\tan{\theta} = \dfrac{\sin{\theta}}{\cos{\theta}} \hspace{20pt} \text{and} \hspace{20pt} \csc{\theta} = \dfrac{1}{\sin{\theta}}$
Then
$\tan{\theta} \cdot \csc{\theta} = \dfrac{\sin{\theta}}{\cos{\theta}} \cdot \dfrac{1}{\sin{\theta}} = \boxed{\dfrac{1}{\cos{\theta}} }$
