sin(α+β-α)=msin(α+β+α)sin(α+β)cosα-cos(α+β)sinα=msin(α+β)cosα+mcos(α+β)sinαsin(α+β)cosα(1-m)=cos(α+β)sinα(1+m)所以tan(α+β)=(1+m)/(1-m)tanα