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问题: 若cos(a+b)=1/5,cos(a-b)=3/5,tana*tanb=

解答:

cos(a+b)=cosa*cosb-sina*sinb=1/5 ......(1)
cos(a-b)=cona*conb+sina*sinb=3/5.......(2)
(1)+(2)==>cosa*cosb=2/5
(2)-(1)==>sina*sinb=1/5
tana*tanb=(sina*sinb)/(cosa*coab)=1/2