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Math Help - Trigonometry

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    Trigonometry

    True or False: When cubing a complex number using DeMoivre's Theorem, there are three answers. Why is this + is it always the case?
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    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Marcie View Post
    True or False: When cubing a complex number using DeMoivre's Theorem, there are three answers. Why is this + is it always the case?
    When you cube any number, do you get three answers? No.

    When you cube root a complex number using DeMoivre's theorem, you get three answers (in fact, these answers form what is called the third roots of unity); This is inpart due to the fact that x^3-1=0 has three complex roots due to the Fundamental Theorem of Algebra.
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