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Geometry Level pending

The two sides of a triangle measures 18 and 14 units with an angle of \(10.84^0\). Evaluate sin \(\frac{π}{a}\) - sin \(\frac{2π}{a}\) - sin \(\frac{3π}{a}\) - . . . - sin \(\frac{8π}{a}\) + sin \(\frac{9π}{a}\), if a is equal to the third side of the triangle.

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