[tex]\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad
% cosecant
csc(\theta)=\cfrac{1}{sin(\theta)}
\qquad
% secant
sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-------------------------------\\\\
cot(t)sec(t)\implies \cfrac{\underline{cos(t)}}{sin(t)}\cdot \cfrac{1}{\underline{cos(t)}}\implies \cfrac{1}{sin(t)}\implies ?[/tex]