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optifine 1.12..2 - AdVision eCommerce

📅 May 2, 2026 👤 scraface

May 02, 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 iden...
\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 2\cos\theta\cos 60...
So equation is $\cos\theta = \sqrt{3}$ — impossible. Therefore, the on...
\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

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