已知cos(a+b)=1/5,cos(a-b)=3/5,则tana*tanb=

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 07:35:34
已知cos(a+b)=1/5,cos(a-b)=3/5,则tana*tanb=
x){}K54m Mu] y1$1/Q H$$铨CΆ[jD N-K$n CM*]$UpU@c5 l"[#}S.PRhēOOvtOMˀ v~qAbȏ

已知cos(a+b)=1/5,cos(a-b)=3/5,则tana*tanb=
已知cos(a+b)=1/5,cos(a-b)=3/5,则tana*tanb=

已知cos(a+b)=1/5,cos(a-b)=3/5,则tana*tanb=
cos(a+b)=cosacosb-sinasinb=1/5(1)
cos(a-b)=cosacosb+sinasinb=3/5(2)
(1)+(2) cosacosb=2/5
(2)-(1) sinasinb=1/5
下式除以上式得
tanatanb=1/2