Решить уравнение
2sin(6x)cos(2x)=cos(pi/2-8x)+1

2sin6xcos2x=sin8x+12sin6xcos2x=sin(6x+2x)+12sin6xcos2x-sin6xcos2x-cos6xsin2x=1sin6xcos2x-cos6xsin2x=1sin(6x-2x)=1sin4x=14x=π/2+2πkx=π/8+πk/2,k∈z