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Endorffeine Coffee Shop in Los Angeles, CA - Shopalian.com
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So the equation is $\cos\theta = \sqrt{3}$, which is impossible. Thus, reconsider the original problem—instead, suppose the equation was meant to be:
\cos(\theta + 60^\circ) + \cos(\theta - 60^\circ) = 1
But given it's $\sqrt{3}$, and since maximum of $\cos\theta$ is 1, no solution. Therefore, perhaps the equation is misstated. Alternatively, suppose symmetry: use sum again:

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