若cos(a+b)=4/5 cos(a-b)=-3/5 则tana*tanb=?RT

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/16 16:33:11

若cos(a+b)=4/5 cos(a-b)=-3/5 则tana*tanb=?
RT

cosacosb-sinasinb=4/5
cosacosb+sinasinb=-3/5
sinasinb=(-3/5-4/5)/2=-7/10
cosacosb=(4/5-3/5)/2=1/10
tana*tanb=(sinasinb)/(cosacosb)=-7/10/(1/10)=-7