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Pre-Calculus Complex numbers (advanced)

DeMoivre's Theorem (powers and roots of complex numbers)

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Questions
Question 1
186983
DeMoivre's Theorem raises a complex number written in polar form to a power. If \(z=r(\cos\theta+i\sin\theta)\) and \(n\) is a positive integer, which expression equals \(z^n\)?
\(r^n(\cos n\theta+i\sin n\theta)\)

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