怎么从a*cosA=b*cosB=a/b=cosB/cosA=sinB/sinA看出sin(A-B)=0 A=B的呢?

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怎么从a*cosA=b*cosB=a/b=cosB/cosA=sinB/sinA看出sin(A-B)=0 A=B的呢?
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怎么从a*cosA=b*cosB=a/b=cosB/cosA=sinB/sinA看出sin(A-B)=0 A=B的呢?
怎么从a*cosA=b*cosB=a/b=cosB/cosA=sinB/sinA看出sin(A-B)=0 A=B的呢?

怎么从a*cosA=b*cosB=a/b=cosB/cosA=sinB/sinA看出sin(A-B)=0 A=B的呢?
a*cosA=b*cosB => a/b=cosB/cosA
正弦定理:a/b = sinA/ainB
=> cosB/cosA=sinB/sinA 即 sinAcosB-cosAsinB = 0
sin(A-B)=0 => A = B