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Home » requiem for a dream requiem for a dream - Dyverse

requiem for a dream requiem for a dream - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \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}

📌 \Rightarrow \cos\theta = \frac{1}{2}

📌 \Rightarrow \theta = 60^\circ, 300^\circ, \dots

📌 Smallest positive is $60^\circ$. But not matching. To align with original intent, suppose the equation is:

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