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Home » A path of length 2 is determined by a middle vertex and two neighbors. - wispro

A path of length 2 is determined by a middle vertex and two neighbors. - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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\boxed{350^\circ}
Question: Compute $ \left( \cos \frac{2\pi}{7} + i \sin \frac{2\pi}{7}...
Let $ z = \cos \frac{2\pi}{7} + i \sin \frac{2\pi}{7} = e^{i \frac{2\p...
z^{14} + \overline{z}^{14} = \left(e^{i \frac{2\pi}{7}}\right)^{14} +...
Since $ e^{i 4\pi} = \cos(4\pi) + i \sin(4\pi) = 1 $, and similarly $...
z^{14} + \overline{z}^{14} = 1 + 1 = 2
Alternatively, recognizing $ e^{i 4\pi} = e^{i 0} = 1 $, the sum is $...
Thus, the expression models symmetric feedback in a periodic synthetic...
Question: Find all angles $ z \in [0^\circ, 360^\circ] $ such that $ \...
\sin(2z) + \sqrt{3} \cos(2z) = 1

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