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why does my eye twitch - Network4

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Within $ [0, 2\pi) $, the only solution is $ \theta = 0 $.

📌 Case 2:** $ 3\theta = 2k\pi - 2\theta $

📌 Add $ 2\theta $ to both sides:

📌 5\theta = 2k\pi \quad \Rightarrow \quad \theta = \frac{2k\pi}{5}

📌 We now find all values of $ k $ such that $ 0 \leq \frac{2k\pi}{5} < 2\pi $.

📌 Dividing by $ 2\pi $:

📌 \leq \frac{k}{5} < 1 \quad \Rightarrow \quad k = 0, 1, 2, 3, 4

📌 So the solutions are:

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