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Rotation formula of two-dimensional vector

2022-04-22 01:28:00 【Harris-H】

You can refer to the following article

Now let me briefly say how to prove ：

Consider the coordinates before and after the transformation .

The angle before transformation is $\alpha$ , The angle of change is $\alpha+\beta$

Because the radius $R$ unchanged , So will $\cos \alpha,\sin \alpha$ Use the previous coordinates to represent .

Then you can get the formula .

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