we have the expression
[tex]\cot (\theta)\cdot\sec (\theta)[/tex]
Remember that
[tex]\cot (\theta)=\frac{\cos(\theta)}{\sin(\theta)}[/tex]
and
[tex]\sec (\theta)=\frac{1}{\cos(\theta)}[/tex]
Substitute given values in the original expression
[tex]\frac{\cos(\theta)}{\sin(\theta)}_{}\cdot\frac{1}{\cos(\theta)}=\frac{1}{\sin(\theta)}=\csc (\theta)[/tex]
therefore
the answer is csc(theta)
