Identities?

Geometry Level 2

The smallest positive solution of the equation 2sin23xcos8x1=02 \sin^2 3x - \cos 8x - 1 = 0 in the interval (0,π2)\left( 0, \frac{\pi}{2}\right) can be expressed in the form aπb\frac{a\pi}{b}, where aa and bb are coprime positive integers, find a+ba+b.

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