f(x)=3sin²(x/2)+2√3sin(x/2)cos(x/2)+cos²(x/2)=2sin²(x/2)+√3[2sin(x/2)cos(x/2)]+[sin²(x/2)+cos²(x/2)]=1-cosx +√3sinx +1=√3sinx-cosx+2=2[(√3/2)sinx-(1/2)cosx]+2=2[sinxcos(...