[tex]\bf \cfrac{csc^2(x)}{cot(x)}=csc(x)sec(x)\\\\
-----------------------------\\\\
cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad \qquad
% cosecant
csc(\theta)=\cfrac{1}{sin(\theta)}\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{\frac{1^2}{sin^2(x)}}{\frac{cos(x)}{sin(x)}}\implies \cfrac{1}{sin^2(x)}\cdot \cfrac{sin(x)}{cos(x)}\implies \cfrac{1}{sin(x)cos(x)}
\\\\\\
\cfrac{1}{sin(x)}\cdot \cfrac{1}{cos(x)}[/tex]
and surely, you know what that is
