Cos A.sin (B-C)+sin (C-A)+cos C.sin (A-B)=0
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Step-by-step explanation:
cosA.sin(B-C)+cosB.sin(C-A)+cosC.sin(A-B)
=cosA(sinBcosC-cosBsinC)+ cosB.(sinCcosA-cosCsinA)+ cosC.(sinAcosB-cosAsinB)
=cosAsinBcosC-cosAcosBsinC+cosA cosBsinC-sinAcosBcosC+sinAcosBcosC-cosAsinBcosC
=0
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