a-b=(cosα-cosβ,sinα-sinβ)
|a-b|^2=(cosα-cosβ)^2+(sinα-sinβ)^2=(sinα^2+cosα^2)+(sinβ^2+cosβ^2)-2(cosαcosβ+sinαsinβ)=2-2cos(α-β)=4/5
解得cos(α-β)=3/5
a-b=(cosα-cosβ,sinα-sinβ)
|a-b|^2=(cosα-cosβ)^2+(sinα-sinβ)^2=(sinα^2+cosα^2)+(sinβ^2+cosβ^2)-2(cosαcosβ+sinαsinβ)=2-2cos(α-β)=4/5
解得cos(α-β)=3/5