A(-3,4)在角α的终边上,则可是有
sinα=-3/5.cosα=4/5
则sin2α=2sinαcosα=-24/25
OA绕原点O逆时针旋转π/3到向量OB
则cosβ=cos(α+π/3)
=cosαcosπ/3-sinαsinπ/3
=4/5*1/2+3/5*根号3/2
=(4+3根号3)/10
A(-3,4)在角α的终边上,则可是有
sinα=-3/5.cosα=4/5
则sin2α=2sinαcosα=-24/25
OA绕原点O逆时针旋转π/3到向量OB
则cosβ=cos(α+π/3)
=cosαcosπ/3-sinαsinπ/3
=4/5*1/2+3/5*根号3/2
=(4+3根号3)/10