已知cos(a+b)=1/5、cos(a-b)=3/5,求tana .tanb的值?
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已知cos(a+b)=1/5、cos(a-b)=3/5,求tana .tanb的值?
已知cos(a+b)=1/5、cos(a-b)=3/5,求tana .tanb的值?
已知cos(a+b)=1/5、cos(a-b)=3/5,求tana .tanb的值?
cos(a+b)=1/5、cos(a-b)=3/5,
cosacosb-sinasinb=1/5
cosacosb+sinasinb=3/5
解得:sinasinb=1/5,cosacosb=2/5
所以tana .tanb=1/2
cos(a+b)=cosa*cosb-sina*sinb;cos(a-b)=cosa*cosb+sina*sinb;cosa*cosb=2/5;sina*sinb=1/5;故tana*tanb=1/2
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