 Rotation of axes

In mathematics, a rotation of axes in two dimensions is a mapping from an "xy"-Cartesian coordinate system to an "x'y'"-Cartesian coordinate system in which the origin is kept fixed and the "x'" and "y'" axes are obtained by rotating the "x" and "y" axes counterclockwise through an angle formula_1.A point "P" has coordinates ("x", "y") with respect to the original system and coordinates ("x'", "y'") with respect to the new system.