sinA-sinB=-1/2
cosA-cosB=1/2
两边平方,再相加:
2-2(sinAsinB+cosAcosB)=1/2
cos(A-B)=3/4
sin(A-B)=±√7/4
tAn(A-B)=sin(A-B)/cos(A-B)
=(±√7/4)/(3/4)
=±√7/3
sinA-sinB=-1/2
cosA-cosB=1/2
两边平方,再相加:
2-2(sinAsinB+cosAcosB)=1/2
cos(A-B)=3/4
sin(A-B)=±√7/4
tAn(A-B)=sin(A-B)/cos(A-B)
=(±√7/4)/(3/4)
=±√7/3