What does it mean to rotate about the origin?

To rotate about the origin means to turn a point or shape around the origin (0, 0) of a coordinate system by a specified angle. This transformation alters the coordinates of the point or shape while keeping the origin fixed. The new position is determined using trigonometric functions, specifically sine and cosine, based on the angle of rotation. This concept is commonly used in geometry and computer graphics to manipulate objects in a plane.