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Home » Shocked! What Zealotry Really Does to Society (You Need to See This!) - Carbonext

Shocked! What Zealotry Really Does to Society (You Need to See This!) - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 So all roots have arguments:

📌 From first set: \( \theta = \frac{2\pi(3k+1)}{9} \), \( k=0,1,2 \) → \( \frac{2\pi}{9}, \frac{8\pi}{9}, \frac{14\pi}{9} \)

📌 From second set: \( \theta = \frac{2\pi(3k+2)}{9} \), \( k=0,1,2 \) → \( \frac{4\pi}{9}, \frac{10\pi}{9}, \frac{16\pi}{9} \)

📌 List the real parts: \( \cos\theta \) for each:

📌 \( \cos\left(\frac{2\pi}{9}\right) \approx \cos(40^\circ) \approx 0.766 \)

📌 \( \cos\left(\frac{4\pi}{9}\right) = \cos(80^\circ) \approx 0.1736 \)

📌 \( \cos\left(\frac{8\pi}{9}\right) = \cos(160^\circ) \approx -0.9397 \)

📌 \( \cos\left(\frac{10\pi}{9}\right) = \cos(200^\circ) \approx -0.9397 \)

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