sin(α+π/3)+sinα=负5分之4根号3 α∈(-π/2,0)求cosα怎样从9/4*sin²α=9/4(1-cos²α)=3/4*cos²a+12/5*cosx+48/25化为cos²α+4/5*cosα-11/100=0呀sin(α+π/3)+sinα=-4√3/5sinαcosπ/3+cosαsinπ/3+sinα=-4√3/53/2*si
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sin(α+π/3)+sinα=负5分之4根号3 α∈(-π/2,0)求cosα怎样从9/4*sin²α=9/4(1-cos²α)=3/4*cos²a+12/5*cosx+48/25化为cos²α+4/5*cosα-11/100=0呀sin(α+π/3)+sinα=-4√3/5sinαcosπ/3+cosαsinπ/3+sinα=-4√3/53/2*si
sin(α+π/3)+sinα=负5分之4根号3 α∈(-π/2,0)求cosα
怎样从9/4*sin²α=9/4(1-cos²α)=3/4*cos²a+12/5*cosx+48/25化为cos²α+4/5*cosα-11/100=0呀
sin(α+π/3)+sinα=-4√3/5
sinαcosπ/3+cosαsinπ/3+sinα=-4√3/5
3/2*sinα+√3/2*cosα=-4√3/5
3/2*sinα=-√3/2*cosα-4√3/5
两边平方
9/4*sin²α=9/4(1-cos²α)=3/4*cos²a+12/5*cosx+48/25
cos²α+4/5*cosα-11/100=0
α是第四象限
cosα>0
cosα=(-4+3√3)/5
注意‘!’就是我不会化的那里...
sin(α+π/3)+sinα=负5分之4根号3 α∈(-π/2,0)求cosα怎样从9/4*sin²α=9/4(1-cos²α)=3/4*cos²a+12/5*cosx+48/25化为cos²α+4/5*cosα-11/100=0呀sin(α+π/3)+sinα=-4√3/5sinαcosπ/3+cosαsinπ/3+sinα=-4√3/53/2*si
两边合并同类项,然后同除以3