\[ \large \cos(12^\circ) \cos(24^\circ) \cos(36^\circ) \cos(48^\circ) \cos(72^\circ) \cos(84^\circ) \]

If the expression above equals to \( \frac ab\) for coprime positive integers \(a\) and \(b\), what is the value of \(a + b\)?

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