sin3a=sin(2a+a)=sin2acosa+cos2asina
=2sinacosa^2+(1-2sina^2)sina
=2sina-2sina^3+sina-2sina^2=3sina-4sina^3
cos3a=cos(2a+a)=cos2acosa-sina2asina
=(2cosa^2-1)cosa-2cosasina^2
=2cosa^3-cosa+(2cosa-2cosa^3)=4cosa^3-3cosa
即sin3a=3sina-4sina^3
cos3a=4cosa^3-3cosa