Find all poles of \(\displaystyle f(z)=\frac{\sin^2 z}{z^3+8i} \) 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 \(\displaystyle 2i\)?

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 \(\displaystyle 2i\)?

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