# Cosines And Pies

Geometry Level 4

$\large\cos\dfrac{\pi}{15}\cos\dfrac{2{\pi}}{15}\cos\dfrac{3{\pi}}{15}\cos\dfrac{4{\pi}}{15}\cos\dfrac{5{\pi}}{15}\cos\dfrac{6{\pi}}{15}\cos\dfrac{7{\pi}}{15}= 2^n$.

Find the value of $$n$$ satisfying the equation above.

×