(1)f(x)=sinx^4+2√3sinxcosx-cosx^4=sinx^4-cosx^4+√3sin2x=√3sin2x+(sinx^2+cosx^2)(sinx^2-cosx^2)=√3sin2x-cos2x=2[sin2x*(√3/2)-cos2x*(1/2)]=2[sin2x*cos(π/6)-cos2x*sin(π/6)]=2sin(2x-π/6)∴f(x)最小...