f(α)=sin(π-α)*cos(2π-α)/sin(3π/2-α)tanα,则f(-10π/3)等于
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f(α)=sin(π-α)*cos(2π-α)/sin(3π/2-α)tanα,则f(-10π/3)等于
a.1/2 b.-1/2 c.(2√3)/3 d.-(2√3)/3
a.1/2 b.-1/2 c.(2√3)/3 d.-(2√3)/3
将原式化简的到f(α)=﹣cosα,
所以f﹙-10π/3﹚=cos(10π/3)=cos(π\3+3π)=-cos(π\3)=-1/2
选B
再问: 原式化简的过程能写一下吗?
再答: 原式=﹙sinαcosα﹚/-cosαtanα=-cosα
sin﹙π-α﹚=sinα,cos(2π-α)=cosα,sin(3π/2-α)=-cosα
所以f﹙-10π/3﹚=cos(10π/3)=cos(π\3+3π)=-cos(π\3)=-1/2
选B
再问: 原式化简的过程能写一下吗?
再答: 原式=﹙sinαcosα﹚/-cosαtanα=-cosα
sin﹙π-α﹚=sinα,cos(2π-α)=cosα,sin(3π/2-α)=-cosα
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