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Quick De Moivre's Theorem question

  1. Oct 29, 2011 #1
    1. The problem statement, all variables and given/known data
    In example 1 on this webpage;
    http://www.cliffsnotes.com/study_guide/De-Moivres-Theorem.topicArticleId-11658,articleId-11634.html [Broken]
    (√3 + i)^7

    You'll see that the angle is inserted in degrees, and then in the working out the degree angles are multiplied by the power of 7, to give 210°

    If the angle had been inserted in radians i.e. ∏/6 and multiplied by the power of 7 also, to give 7∏/6 in the working out (instead of 210°), would this be equally valid?
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Oct 29, 2011 #2


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    π radian corresponds to 180°. 210° is equivalent to (210/180) π = 7π/6.

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