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.