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Home » The time for the first part is \( \frac18060 = 3 \) hours. - jntua results

The time for the first part is \( \frac18060 = 3 \) hours. - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \theta = 2k\pi

📌 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

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