tanx/2=t,sin(x/2)/cos(x/2)=tsin(x/2)=tcos(x/2)因为:sin²(x/2)+cos²(x/2)=1(t²+1)cos²(x/2)=1cos²(x/2)=1/(1+t²)sinx=2sin(x/2)cos(x/2)=2tcos²(x/2)=2t/(1+t²)cosx=2cos²(x/2)-1=2/(1+t²)-1=(2-1-t²)/(1+t²)=(1-t²)/(1+t²)