Hi! So I have to find the solutions to the following equation using de Moivre's theorem: z^3=i

Here's my attempt at solving:

z^3=i

z^3=0+1i

r=(0^2+1^2)^1/2

r=1

arg=tan^-1(1/0)

arg=0

so z^3=1cis0

z1=1cis0

z2=1cis120

z3=1cis240

I feel like something is wrong with these solutions.

HELP please!