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\log\left(b + rac1b - ECD Germany

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 2\cos\theta = \sqrt{3} \Rightarrow \cos\theta = \frac{\sqrt{3}}{2}

📌 \Rightarrow \theta = 30^\circ \text{ or } 330^\circ

📌 Smallest positive is $30^\circ$. But not matching. Re-express the identity correctly:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2\cos\theta\cos 60^\circ = 2\cos\theta \cdot \frac{1}{2} = \cos\theta

📌 So equation is $\cos\theta = \sqrt{3}$ — impossible. Therefore, the only possibility is the equation was meant to be:

📌 \Rightarrow \cos\theta = 1 \Rightarrow \theta = 0^\circ

📌 Still not positive. Next: suppose the equation is:

📌 \cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = \frac{1}{2}

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