The sixth root $e^{i\pi/3}$ is $\frac12+i\frac{\sqrt3}{2}$.Suggest a slogan
\[ e^{2\pi i/6} = \cos\frac{\pi}{3} + i\sin\frac{\pi}{3} = \frac{1}{2}\qty{1 + i\sqrt 3}. \]
What is $e^{2\pi i / 6}$ in rectangular coordinates?
$e^{2\pi i/6}$ in rectangular coordinates
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