sin²x/2+2sinx/2-sinx-4cosx/2=0,怎么变成(sinx/2-2cosx/2)(sinx/2+2)=0
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![sin²x/2+2sinx/2-sinx-4cosx/2=0,怎么变成(sinx/2-2cosx/2)(sinx/2+2)=0](/uploads/image/z/3858407-71-7.jpg?t=sin%26%23178%3Bx%2F2%2B2sinx%2F2-sinx-4cosx%2F2%3D0%2C%E6%80%8E%E4%B9%88%E5%8F%98%E6%88%90%EF%BC%88sinx%2F2-2cosx%2F2%EF%BC%89%EF%BC%88sinx%2F2%2B2%EF%BC%89%3D0)
sin²x/2+2sinx/2-sinx-4cosx/2=0,怎么变成(sinx/2-2cosx/2)(sinx/2+2)=0
sin²x/2+2sinx/2-sinx-4cosx/2=0,怎么变成(sinx/2-2cosx/2)(sinx/2+2)=0
sin²x/2+2sinx/2-sinx-4cosx/2=0,怎么变成(sinx/2-2cosx/2)(sinx/2+2)=0
sin²x/2+2sinx/2-sinx-4cosx/2=0
sin(x/2)[sin(x/2)+2]-2sin(x/2)cos(x/2)-4cos(x/2)=0
sin(x/2)[sin(x/2)+2]-2cos(x/2)[sin(x/2)+2]=0
提取公因式,即得:
[sin(x/2)-2cos(x/2)]*[sin(x/2)+2]=0