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

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 12:32:04
若cos(a+b)=1/5.cos(a-b)=3/5,则tana*tanb=?若cos(a+b)=1/5.cos(a-b)=3/5,则tana*tanb=?若cos(a+b)=1/5.cos(a-b)

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

若cos(a+b)=1/5.cos(a-b)=3/5,则tana*tanb=?
cos(a+b)=cosa*cosb-sina*sinb=1/5①
cos(a-b)=cona*conb+sina*sinb=3/5②
①+②:cosa*cosb=2/5
②-①:sina*sinb=1/5
tana*tanb=(sina*sinb)/(cosa*coab)=1/2