Question

30 POINTS!

Find the cube roots of 8(cos 216° + i sin 216°).

Also, if you wouldn't mind, while you're here could you answer some other questions I have posted? They are 10 points EACH and there about 5 of them :)

Answer 1

Start at k = 0, 1, 2, because there are THREE cube roots of a complex number:

k = 0: 2(cos 72° + i sin 72°)
k = 1: 2(cos 192° + i sin 192°)
k = 2: 2(cos 312° + i sin 312°)