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Home » Thus, the answer is $\boxed221$. - Simpleprint

Thus, the answer is $\boxed221$. - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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Subtract $ 2\theta $ from both sides:
\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...
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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