要得到函数y=cos2x的图象,只需将y=sin(2x+π/3)的图象怎样平移

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要得到函数y=cos2x的图象,只需将y=sin(2x+π/3)的图象怎样平移

要得到函数y=cos2x的图象,只需将y=sin(2x+π/3)的图象怎样平移
要得到函数y=cos2x的图象,只需将y=sin(2x+π/3)的图象怎样平移

要得到函数y=cos2x的图象,只需将y=sin(2x+π/3)的图象怎样平移
sin(2x+π/3)
=cos(2x+π/3+π/2)
=cos(2x+5π/6)
=cos2(x+5π/12)--------左移5π/12变成y=cos2x的图象
sin(2x+π/3)
=cos(2x+π/3-π/2)
=cos(2x-π/6)
=cos2(x-π/12)--------右移π/12变成y=cos2x的图象

向左移PI/12