cos(B-C)=cosBcosC+sinBsinc
sinB+sinc=-sinA
cosB+cosC=-cosA
所以同时平方
sinB^2+sinc^2+2sinBsinc=sinA^2
cosB^2+cosc^2+2cosBcosC=cosA^2
两式相加
2(cosBcosC+sinBsinc)+2=1
cos(B-C)
=cosBcosC+sinBsinc
=-1/2
cos(B-C)=cosBcosC+sinBsinc
sinB+sinc=-sinA
cosB+cosC=-cosA
所以同时平方
sinB^2+sinc^2+2sinBsinc=sinA^2
cosB^2+cosc^2+2cosBcosC=cosA^2
两式相加
2(cosBcosC+sinBsinc)+2=1
cos(B-C)
=cosBcosC+sinBsinc
=-1/2