for a Unit Circle, the radius "r" is 1
now, we know the angle has a terminal line that passes through,
-2, 3, namely, x = -2 and y = 3 at that spot
so... now we know what "x" is, "y" is, and of course "r" is 1
thus [tex]\bf sin(\theta)=\cfrac{y}{r}
\\
% cosine
cos(\theta)=\cfrac{x}{r}
\\
% tangent
tan(\theta)=\cfrac{y}{x}
\\
% cotangent
cot(\theta)=\cfrac{x}{y}
\\
% cosecant
csc(\theta)=\cfrac{r}{y}
\\
% secant
sec(\theta)=\cfrac{r}{x}[/tex]