cosA/cosB=sin(C-x)/sin(C+x) then tanx is
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Step-by-step explanation:
cosA/cosB=sin(C-x)/sin(C+x)
applying componendo and divendo
cos a+cos b/cos a-cos b=sin c*cos x/cos c*sin x
cos a+cos b/cos a- cos b=tanc/tanx
tanx/tan c=cos a- cos b/cos a+cos b
tanx=cos a-cosb/cos+cos b*tan c
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please see the attachment
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