sin^2(x+pie/6)+cos^2(x+pie/3)=sin^2(x-pie/3)+cos^2(x+pie/3)=[1-cos(2x-2pie/3)]/2+[1+cos(2x+2pie/3)]/2,这里可以展开.也可以.=1+[cos(2x+2pie/3)+cos(2x+pie/3)]/2=1+cos（2x+pie/2）cospie/6/2=1+√3cos(2x+pi...