diytechowto
diytechowto diytechowto
  • 17-04-2019
  • Mathematics
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Compute the indicated power by using DeMoivre’s theorem:
Please provide your answer in radians, use π where appropriate.
___, k={__,___,___}

Compute the indicated power by using DeMoivres theorem Please provide your answer in radians use π where appropriate k class=

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LammettHash
LammettHash LammettHash
  • 17-04-2019

[tex]i=e^{i\pi/2}[/tex]

and by DeMoivre's theorem,

[tex]i^{1/3}=e^{i(\pi/2+2k\pi)/3}=e^{i(\pi/6+2k\pi/3)}[/tex]

for [tex]k=0,1,2[/tex]

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