RotationTransform

RotationTransform[θ] gives a TransformationFunction that represents a rotation in 2D by θ radians about the origin.

RotationTransform[θ, p] gives a 2D rotation about the 2D point p.

RotationTransform[θ, w] gives a 3D rotation around the direction of the 3D vector w.

RotationTransform[θ, w, p] gives a 3D rotation around the axis w anchored at the point p.

Examples

2D rotation:

RotationTransform[Pi/4][{1, 0}]
(* {1/Sqrt[2], 1/Sqrt[2]} *)

3D rotation around z-axis:

RotationTransform[Pi/2, {0, 0, 1}][{1, 0, 0}]
(* {0, 1, 0} *)

Please visit the official Wolfram Language Reference for more details.