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Intuitive understanding of the essence of two-dimensional rotation

2022-04-23 19:14:00 cjzcjl

To rotate 90 For example , Split the pointer into x and y Two components , It can be found that as the rotation angle increases ,x and y The periodic waveform generated by the component just has 90 The phase difference of degrees , When one party is the largest, the other party is the smallest , So there is a rotation formula :

x= r * sin(a + b + 90) = r * cos(a+b)

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