化簡sin(α+30°)+sin(30°-α)cosα得___.

化簡sin(α+30°)+sin(30°-α)cosα得___.

sin(α+300)+sin(300-α)cosα=sinαcos30°+cosαsin30°+sin30°cosα-cos30°sinαcosα=2sin30°cosαcosα=1,故答案為:1.