The cube root $e^{2\pi i/3}$ is $-\frac12+i\frac{\sqrt3}{2}$.Suggest a slogan
\[ e^{2\pi i/3} = \cos\frac{2\pi}{3} + i\sin\frac{2\pi}{3} = \frac{1}{2}\qty{-1 + i\sqrt 3}. \]
What is $e^{2\pi i / 3}$ in rectangular coordinates?
$e^{2\pi i/3}$ in rectangular coordinates
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