What is the rule for a rotation in math?

Answer 1

In mathematics, a rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a specific angle and in a specified direction (clockwise or counterclockwise). The rule for a rotation typically involves the coordinates of the points being rotated; for example, rotating a point (x, y) around the origin by an angle θ can be expressed using the formulas: x' = x cos(θ) - y sin(θ) and y' = x sin(θ) + y cos(θ). The angle of rotation and the center of rotation are crucial for determining the new positions of the points after the transformation.