sin(a+B)=2/3,sin(a-B)1/5,求tana/tanB的值

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sin(a+B)=2/3,sin(a-B)1/5,求tana/tanB的值

sin(a+B)=2/3,sin(a-B)1/5,求tana/tanB的值
sin(a+B)=2/3,sin(a-B)1/5,求tana/tanB的值

sin(a+B)=2/3,sin(a-B)1/5,求tana/tanB的值
sin(a+b)=sinacosb+sinbcosa=2/3
sin(a-b)=sinacosb-sinbcosa=1/5
可得:sinacosb=13/30,sinbcosa=7/30
所以sinacosb/sinbcosa...上下同时除以cosacosb
=tana/tanb
=13/7
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