is the cot(pi) non conclusive

Here is a graph of      $$y=cot\theta$$

The blue line is where     $$\theta = \pi$$

You can see that 

$$\\\displaystyle\lim_{x\rightarrow\pi\;from\; below}=-\infty\\\\ and\\\\ \displaystyle\lim_{x\rightarrow\pi\;from\; above}=+\infty\\\\ $So yes $cot(\pi) $ is indeterminant.$$ $

ALSO there is another way to look at it.

$$\\cot(\pi)=\frac{cos(\pi)}{sin(\pi)}=\frac{-1}{0}$$

but you cannot divide by zero so this is indeterminant.