Math — De Moivre & Roots of Unity
De Moivre's theorem and the n-th roots of a complex number.
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(\cos\theta + i\sin\theta)^n = \cos n\theta + i\sin n\theta
z^n = r^n e^{in\theta}
z_k = r^{1/n}e^{i(\theta + 2\pi k)/n}
|z_1 z_2| = |z_1||z_2|