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Homework Help: calculus

Posted by Sébastien on Tuesday, January 24, 2012 at 12:44pm.

Hi i need help for calcul with a Moivre's theorem:
( 1/2 ( -1 - i√3 )) ^3
thanks for your help

• calculus - Steve, Tuesday, January 24, 2012 at 1:19pm

  convert (x,y) to (r,θ)
  1/2 ( -1 - i√3 ) = (1,4π/3)
  
  (re^iθ)ⁿ = rⁿe^inθ
  
  (1,4π/3)³ = (1³,4π) = (1,4π)
  in (x,y) that's (1,0)
  

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