sin(a+b)=1/4,sin(a-b)= 1/3,则tana/tanb等于?

问题描述:

sin(a+b)=1/4,sin(a-b)= 1/3,则tana/tanb等于?

sin(a+b)=sinacosb+cosasinb=1/4,
sin(a-b)=sinacosb-cosasinb=1/3,两个式子相加,得
sinacosb=7/24
cosasinb=-1/24
sinacosb/cosasinb=tana/tanb=-7