Trigonometric Values?

Geometry Level 4

 cos273 + cos247 + cos73cos47\large \ \cos^{2} 73^{\circ} \ + \ \cos^{2} 47^{\circ} \ + \ \cos 73^{\circ} \cos 47^{\circ}

If the value of the above expression is equal to ab\dfrac {a}{b}, where aa and bb are coprime positive integers, find a+ba+b.

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