sinA+sinB+sinC=0,cosA+cosB+cosC=o,则cos(A-B)=______帮帮忙

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sinA+sinB+sinC=0,cosA+cosB+cosC=o,则cos(A-B)=______帮帮忙

sinA+sinB+sinC=0,cosA+cosB+cosC=o,则cos(A-B)=______帮帮忙
sinA+sinB+sinC=0,cosA+cosB+cosC=o,则cos(A-B)=______
帮帮忙

sinA+sinB+sinC=0,cosA+cosB+cosC=o,则cos(A-B)=______帮帮忙
sinA+sinB=-sinC
cosA+cosB=-cosC
两式分别左右平方,后相加得
2+2(cosAcosB+sinAsinB)=1
所以
cosAcosB+sinAsinB=-1/2
cos(A-B)=cosAcosB+sinAsinB=-1/2