已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值

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已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值已知Cos(A+B)=0.2,Cos(A-B

已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值
已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值

已知Cos(A+B)=0.2,Cos(A-B)=0.6,求TanATanB的值
sinAsinB=1/2(cos(A-B)-cos(A+B))=1/2(0.6-0.2)=0.2
cosAcosB=1/2(cos(A-B)+cos(A+B))=1/2(0.6+0.2)=0.4
tanAtanB=sinAsinB/(cosAcosB)=0.2/0.4=1/2

cos(A+B)=cosAcosB-sinAsinB=0.2
cos(A-B)=cosAcosB+sinAsinB=0.6
sinAsinB=0.2
cosAcosB=0.4
tanAtanB=0.5