- #1

- 147

- 0

(a) 1

(b) i

(c) -i

what exactly does this question mean? I am really lost as to what they are asking for.

here is a stab at it:

(a)

cube root of 1 is 1... so... would that mean.... [tex]1=e^{- \infty +i \theta[/tex]

(b)

cube root of i is [tex]\frac{\sqrt{3}}{2}+0.5i[/tex] so.... [tex]\frac{\sqrt{3}}{2}+0.5i=e^{i \frac{\pi}{6}}[/tex]

(c)

cube root of -i is [tex]\frac{\sqrt{3}}{2}-0.5i[/tex] so.... [tex]\frac{\sqrt{3}}{2}-0.5i=e^{-i \frac{\pi}{6}}[/tex]

is this the right way to approch this problem?