令角1=a,角2=bsina=√5/5a是锐角,所有cosa>0因为sin²a+cos²a=1所以cosa=2√5/5sin(a-b)=sinacosb-cosasinb=-√10/10√5/5*cosb-2√5/5*sinb=-√10/10cosb-2sinb=-√2/2cosb=2sinb-√2/2两边平方1-sin²...