sina+sinβ+sinγ=0 cosa+cosβ+cosγ=0 则cos(β-γ)=

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sina+sinβ+sinγ=0cosa+cosβ+cosγ=0则cos(β-γ)=sina+sinβ+sinγ=0cosa+cosβ+cosγ=0则cos(β-γ)=sina+sinβ+sinγ=0

sina+sinβ+sinγ=0 cosa+cosβ+cosγ=0 则cos(β-γ)=
sina+sinβ+sinγ=0 cosa+cosβ+cosγ=0 则cos(β-γ)=

sina+sinβ+sinγ=0 cosa+cosβ+cosγ=0 则cos(β-γ)=
sinγ+sinβ=-sina
cosγ+cosβ=-cosa
(cosγ+cosβ)^2+(sinγ+sinβ)^2=1
2+2cosγcosβ+2sinγsinβ=1
cos(β-γ)=-1/2