Вычислите значение выр-ия: cos п/9 * сos 2п/9 * cos 4п/9 * cos 8п/9 * cos 16п/9 * cos 32п/9

cosx cos2x cos4x cos8x cos16x cos32x = = (2sinxcosx / 2sinx) cos2x cos4x cos8x cos16x cos32x =  = (sin2x / 2sinx) cos2x cos4x cos8x cos16x cos32x = = (sin2x / 2sinx) (2sin2xcos2x / 2sin2x) cos4x cos8x cos16x cos32x = = (sin4x / 4sinx) (2sin4xcos4x / 2sin4x) cos8x cos16x cos32x =  = (sin8x / 8sinx) (2sin8xcos8x / 2sin8x) cos16x cos32x =  = (sin16x / 16sinx) (2sin16xcos16x / 2sin16x) cos32x =  = (sin32x / 32sinx) (2sin32xcos32x / 2sin32x) =  = sin64x / 64sinx   x = π/9   [latex]\frac{sin\frac{64\pi}{9}}{64sin\frac{\pi}{9}}=\frac{sin(7\pi+\frac{\pi}{9})}{64sin\frac{\pi}{9}}= \frac{sin7\pi cos\frac{\pi}{9}+cos7\pi sin\frac{\pi}{9}}{64sin\frac{\pi}{9}} = \frac{-sin\frac{\pi}{9}}{64sin\frac{\pi}{9}} = -\frac{1}{64}[/latex]