Question

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 1

Considering the point
`(x, y)`

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

- Counterclockwise if multiplying by
`i\\`

- Clockwise if multiplying by
`-i`

Note, I'm considering
`x+iy`

Another approach using trigonometry is considering:

`(x,y)=(cos\theta,sin\theta)`

So the rotation will get the coordinates

`(cos\theta+(\pi)/(2) ,sin\theta+(\pi)/(2))`