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Equations with trigonometry in them can look scary, but that's nothing that a quick little substitution can't fix.

Find the sum, in degrees, of all \(\theta\) between \(0^{\circ}\) and \(360^{\circ}\) such that

\[\tan(2\theta-330^{\circ})=\sqrt{3}.\]

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If \( \cos A = \tan B,\) \(\cos B = \tan C,\) and \(\cos C = \tan A,\) what is \(\sin A?\)

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