I am asked to use the exponential form [tex]e^{i \theta}[/tex] to express the three cube roots of:(adsbygoogle = window.adsbygoogle || []).push({});

(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?

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# Homework Help: Cube roots

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