(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the 3 solutions of e^{i[tex]\pi[/tex]/3}z^{3}=1/(1+i)

2. Relevant equations

e^{i[tex]\theta[/tex]}=cos([tex]\theta[/tex])+isin([tex]\theta[/tex])

3. The attempt at a solution

i have put i/(1+i) into polar form,1/[tex]\sqrt{2}[/tex] e^{i[tex]\stackrel{\pi}{4}[/tex]}

So i get z^{3}= [tex]\stackrel{1}{\sqrt{2}}[/tex]e^{i-[tex]\pi/12[/tex]}

Then i got stuck... z^{3}=r^{3}e^{i[tex]\theta[/tex]}

So shouldn't r^{3}=1/[tex]\sqrt{2}[/tex] and [tex]\theta[/tex]=-[tex]\pi[/tex]/36 ..but that's only 1 solution?

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# Homework Help: Finding the solutions of a complex number

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