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Home » \[ h^2 + 36 = 100 \] - Moon Smoking

\[ h^2 + 36 = 100 \] - Moon Smoking

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 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:

📌 \theta = 0, \frac{2\pi}{5}, \frac{4\pi}{5}, \frac{6\pi}{5}, \frac{8\pi}{5}

📌 But $ \theta = 0 $ appears in both cases, so we list all distinct solutions:

📌 + \frac{2\pi}{5} + \frac{4\pi}{5} + \frac{6\pi}{5} + \frac{8\pi}{5} = \frac{(0 + 2 + 4 + 6 + 8)\pi}{5} = \frac{20\pi}{5} = 4\pi

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