若cos(a+b)=1/5,cos(a-b)=3/5,则tanatanb=

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若cos(a+b)=1/5,cos(a-b)=3/5,则tanatanb=
若cos(a+b)=1/5,cos(a-b)=3/5,则tanatanb=

若cos(a+b)=1/5,cos(a-b)=3/5,则tanatanb=
cosacosb - sinasinb = 1/5
cosacosb + sinasinb = 3/5
解出
sinasinb = 1/5
cosacosb = 2/5
所以
tanatanb = sinasinb / (cosacosb) = 1/2.