解:⑴f(x)=-1/2+sin(π/6-2x)+cos(2x-π/3)+(cosx)^2=-1/2+sinπ/6cos2x-sin2xcosπ/6+cos2xcosπ/3+sin2xsinπ/3+(cosx)^2=(1/2)cos2x-(√3/2)sin2x+(1/2)cos2x+(√3/2)sin2x+[2(cosx)^2-1]/2=cos2x+(cos2x)/2=(3/2...