sin（x+y)=1/2 ,sin(x-y)=1/3,求tanx/tany的值
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/08 20:35:22
sin（x+y)=1/2,sin(x-y)=1/3,求tanx/tany的值sin（x+y)=1/2,sin(x-y)=1/3,求tanx/tany的值sin（x+y)=1/2,sin(x-y)=1/
sin（x+y)=1/2 ,sin(x-y)=1/3,求tanx/tany的值
sin（x+y)=1/2 ,sin(x-y)=1/3,求tanx/tany的值
sin（x+y)=1/2 ,sin(x-y)=1/3,求tanx/tany的值
2sinxcosy=sin(x+y)+sin(x-y)=5/6
2cosxsiny=sin(x+y)-sin(x-y)=1/6
两式相除得所求=5
(tanX)/(tanY)=（sinX/cosX）/(sinY/cosY) =(sinXcosY)/(cosXsinY) 又sinXcosY=（1/2）[sin(X Y) sin(X-Y)] =（1/2）[(2/3) (1