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Home » So all three? Wait: $\sin(2z) = \cos z$: - Midis

So all three? Wait: $\sin(2z) = \cos z$: - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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

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

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

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

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

📌 \( \cos\left(\frac{14\pi}{9}\right) = \cos(280^\circ) = \cos(-80^\circ) \approx 0.1736 \)

📌 \( \cos\left(\frac{16\pi}{9}\right) = \cos(320^\circ) = \cos(-40^\circ) \approx 0.766 \)

📌 Maximum real part is \( \cos\left(\frac{2\pi}{9}\right) \approx 0.766 \), which occurs twice.

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