(sinα-sinβ)^2=sinα^2+sin^2β-2sinαsinβ(cosα-cosβ)^2=cosα^2+cos^2β-2cosαcosβ(sinα-sinβ)^2+(cosα-cosβ)^2=2-2(sinαsinβ+cosαcosβ)=2-2cos(α-β)cos(α-β)=根号3 /2因为是特殊数值,直接也可以测算α=90 β=60 cos(α-β)=根号3/2