Math Help - Finding poles

1. Finding poles

Find all poles of $f(z)=\frac{\sin^2 z}{z^3+8i}$ and state the order of the poles.

Do I need to do a full Laurent expansion of this? Or is there an easier way?

EDIT: I guess it seems to have a pole of order 1 at $2i$?

2. Originally Posted by scorpion007
Find all poles of $f(z)=\frac{\sin^2 z}{z^3+8i}$ and state the order of the poles.

Do I need to do a full Laurent expansion of this? Or is there an easier way?

EDIT: I guess it seems to have a pole of order 1 at $2i$?
I would agree with your edited answer.

3. I worked on this a bit more and found 3 unique poles by solving $z^3=-8i$ and DeMoivre's theorem. Thanks anyhow.