解tana=(2tana/2)/(1-tan²a/2)=4/(1-4)=-4/3tanb=(2tanb/2)/(1-tan²b/2)=2/3×(9/8)=3/4∴tan(a+b)=(tana+tanb)/(1-tanatanb)=(-4/3+3/4)/(1+1)=(-16/12+9/12)×(1/2)=-7/12×1/2=-7/24