设函数f(x)=acos^2(ωx)-(根号3)asin(ωx)cos(ωx)+b的最小正周期为π(a=/=0,ω>0)

f(x)=acos^2(ωx)-sqrt(3)asin(ωx)cos(ωx)+b=a*(1+cos(2ωx))/2-sqrt(3)*a*sin(2ωx)/2+b=a*[ cos(2ωx))*1/2-sin(2ωx)*sqrt(3)/2 ] +a/2+b=a*[ cos(2ωx))*cos(π/3)-sin(2ωx)*sin(π/3) ] +a/2+b=a*cos(2ωx+...