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Home » "GotM Game GOAT? The Gameplay Twist You Can’t Miss! - Sourci

"GotM Game GOAT? The Gameplay Twist You Can’t Miss! - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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z = \omega^{1/3} = e^{2\pi i / 9},\ e^{2\pi i (1+3)/9} = e^{8\pi i / 9...
Similarly, $ z^3 = \omega^2 = e^{-2\pi i / 3} $, so roots:
z = e^{-2\pi i / 9},\ e^{-8\pi i / 9},\ e^{-14\pi i / 9} = e^{4\pi i /...
So the six roots are:
e^{2\pi i / 9},\ e^{8\pi i / 9},\ e^{14\pi i / 9},\ e^{-2\pi i / 9},\...
The imaginary part of $ e^{i\theta} $ is $ \sin \theta $. We compute $...
$ \sin(2\pi/9) = \sin(40^\circ) \approx 0.6428 $
$ \sin(8\pi/9) = \sin(160^\circ) = \sin(20^\circ) \approx 0.3420 $
$ \sin(14\pi/9) = \sin(280^\circ) = \sin(-80^\circ) = -\sin(80^\circ)...
$ \sin(-2\pi/9) = -\sin(40^\circ) $

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