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急!已知sinα=1/3,则sin2(π/4-α)=?
求详细过程,我算出来的是7/9 不知道对不对 应该有两个答案还是一个?
···为什么cosα一定是正的
人气:117 ℃ 时间:2020-02-05 22:35:02
解答
7\9我有个问题···为什么cosα一定是正的····sin2(π/4-α)=sin{2(π/4-/α)} =sin{2π/4-2α} =sin{π/2-2α} =sin(π/2)cos(2α)-cos(π/2)sin(2α)=1cos(2α)-0sin(2α)=cos(2α)-0=cos(2α)=cosα*cosα-sinα*sinα=1-(sinα)^2--(sinα)^2=1-2(sinα)^2=1-2(1\3)^2=1-2X1\9=1-2\9=7\9
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