sin(70°-α)=cos2α α=?

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sin(70°-α)=cos2αα=?sin(70°-α)=cos2αα=?sin(70°-α)=cos2αα=?sin(70°-α)=cos2αsin(70°-α)=cos[90°-(70°-α)]

sin(70°-α)=cos2α α=?
sin(70°-α)=cos2α α=?

sin(70°-α)=cos2α α=?
sin(70°-α)=cos2α
sin(70°-α)=cos[90°-(70°-α)]=cos(α+20°)
当α为锐角时:α+20°=2α
解得:α=-20°
当α为未知象限角时:α+20°=k*360° ± 2α
α=k*360°+20°,或α=k*240°-20° 其中k∈Z

sin(70°-α)=cos(90°-(70°-α))=cos2α
所以:2α=20°+α+360°k
α=20°+360°k k为整数