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]
