Ratio Of Different Trigonometric Functions!

Geometry Level 3

If \(\dfrac {\cos {3A}}{\cos {A}}\) \(= \dfrac {1}{2}\), then the value of \(\dfrac {\sin {3A}}{\sin {A}}\) can be expressed as \(\dfrac {a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

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