teehartinegr
Answered

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.

Answer :

mirai123

Answer:

Considering the point [tex](x, y)[/tex]

If you represent it as a complext number, you get:

- Counterclockwise if multiplying by [tex]i\\[/tex]

- Clockwise if multiplying by [tex]-i[/tex]

Note, I'm considering [tex]x+iy[/tex]

Another approach using trigonometry is considering:

[tex](x,y)=(cos\theta,sin\theta)[/tex]

So the rotation will get the coordinates

[tex](cos\theta+\frac{\pi}{2} ,sin\theta+\frac{\pi}{2})[/tex]

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