Quick De Moivre's Theorem question

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The discussion centers on the application of De Moivre's Theorem, specifically regarding the calculation of (√3 + i)^7. The angle is initially presented in degrees, resulting in 210°. The question raised is whether using radians, specifically π/6, and multiplying by the power of 7 to yield 7π/6, is equally valid. The conclusion confirms that both methods are valid as they yield equivalent results, with 210° being equal to 7π/6 radians.

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Homework Statement


In example 1 on this webpage;
http://www.cliffsnotes.com/study_guide/De-Moivres-Theorem.topicArticleId-11658,articleId-11634.html
(√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?
 
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π radian corresponds to 180°. 210° is equivalent to (210/180) π = 7π/6.

ehild
 

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