若sin(a+b)=1/2,sin(a-b)=1/3,则tana/tanb的值为?

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若sin(a+b)=1/2,sin(a-b)=1/3,则tana/tanb的值为?
若sin(a+b)=1/2,sin(a-b)=1/3,则tana/tanb的值为?

若sin(a+b)=1/2,sin(a-b)=1/3,则tana/tanb的值为?
sin(a+b)=sina*cosb+sinb*cosa=1/2
sin(a-b)=sina*cosb-cosasinb=1/3
sina*cosb=5/12 sinb*cosa=1/12
tana/tanb=sina/cosq*sinb/cosb=sina*cosb/cosa8sinb=5

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