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116问答网 > 要得到y=sin2x的图像,需要将函数y=cos(2x-π⼀4)的图像进行怎样的变换？

要得到y=sin2x的图像,需要将函数y=cos(2x-π⼀4)的图像进行怎样的变换？

如题。。。。

2025-03-17 00:04:45

推荐回答（3个）

回答1：

y=cos(2x-π/4)
=sin(2x-π/4+π/2)
=sin(2x+π/4)
=sin(2(x+π/8))
∴y=cos(2x-π/4)的图像向左移动π/8即可得到y=sin2x的图像.

回答2：

将函数y=cos(2x-π/4)的图像右移π/8
或者左移动π－π/8

回答3：

向右移π/8
y=cos(2(x－π/8）－π/4)＝cos（2x－π/2）＝cos(π/2－2x）＝sin2x

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