Cosine Chain

Geometry Level 2

cos(2π15)cos(4π15)cos(8π15)cos(14π15)=AB\large\cos\left(\dfrac{2\pi}{15}\right)\cos\left(\dfrac{4\pi}{15}\right)\cos\left(\dfrac{8\pi}{15}\right)\cos\left(\dfrac{14\pi}{15}\right)=\dfrac{A}{B}

If A,BA,B are co-prime integers , find BAB - A.

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