The problem of scattering from an anisotropic impedance half-plane at skew incidence is considered. Application of Maliuzhinets’ technique in combination with an approximation leads to a solution for the scattered field expressed in terms of Maliuzhinets functions. Even though the approximation is not based on the assumption that the obliquity of the incident wave is small, the exact solution is identically recovered in the cases of perpendicular incidence and skew incidence on an isotropic half-plane.