f(x)=cos2xcos5π/3+sin2xsin5π/3+2sin(x+π/4-π/2)sin(x+π/4)=1/2cos2x-√3/2sin2x-2cos(x+π/4)sin(x+π/4)=1/2cos2x-√3/2sin2x-sin(2x+π/2)=-1/2cos2x-√3/2sin2x=-sin(2x+π/6)(1)函数最小正周期T=2π/2=π...