rotation 2d d'un point

To rotate a 2D point, we can use the following steps:

  1. Define the point to be rotated, the angle of rotation, and the center of rotation.
  2. Translate the point so that the center of rotation is at the origin.
  3. Apply the rotation matrix to the translated point.
  4. Translate the point back to its original position by adding the coordinates of the center of rotation.

The rotation matrix can be calculated using the following formulas: [x' = x \cos(\theta) - y \sin(\theta)] [y' = x \sin(\theta) + y \cos(\theta)]

Where (x, y) are the original coordinates, (x', y') are the coordinates after rotation, and (\theta) is the angle of rotation in radians.

By following these steps and using the rotation matrix, we can effectively rotate a 2D point around a specified center of rotation.