A recessed lighting unit includes a light engine and provides angular adjustment of the light emanating from the lighting unit. In one arrangement, the lighting unit includes a heat sink and a module frame that slidingly interact to provide rotation of the light engine in one degree of freedom, for example rotation about a horizontal axis. A rotation mechanism may also be provided for rotating the light engine in a second degree of freedom, for example rotation about the axis of a cylindrical recessed can in which the light engine is disposed. The lighting unit may be configured for use in new construction, or for retrofit applications.