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sheyunicorn
25.04.2020 •
Mathematics
Describe in your own words how you find the coordinates for any point (x, y) when it is rotated 90 degrees counterclockwise about the origin.
Show a graph and an example of this type of rotation.
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Ответ:
Considering the point![(x, y)](/tpl/images/0627/3529/8c70e.png)
If you represent it as a complext number, you get:
- Counterclockwise if multiplying by![i\\](/tpl/images/0627/3529/d37de.png)
- Clockwise if multiplying by![-i](/tpl/images/0627/3529/378f1.png)
Note, I'm considering![x+iy](/tpl/images/0627/3529/a4487.png)
Another approach using trigonometry is considering:
So the rotation will get the coordinates
Ответ: