I need help calculating the laurent series of $\tan z$ around the points $z=0$, $z=\pi/2$, and $z=\pi$.
How would one go about doing this? I solved an almost identical question that was "Derive the Laurent expansion for the function $f(z)= \frac{\sin z}{\cos z}$ around $z=\pi/2$. Use long division."
Is it the same here?