Answer
$\dfrac{1}{\sin{\theta}}$
Work Step by Step
Recall:
$\cot{\theta} =\dfrac{\cos{\theta}}{\sin{\theta}} \hspace{20pt} \text{and} \hspace{20pt} \sec{\theta} = \dfrac{1}{\cos{\theta}}$
Thus,
$\cot{\theta} \cdot \sec{\theta}= \dfrac{\cos{\theta}}{\sin{\theta}} \times \dfrac{1}{\cos{\theta}} = \boxed{\dfrac{1}{\sin{\theta}}}$
