In calculating CP Array beam patterns, certain time-consuming summations can be avoided if they can be expressed in closed analytical form. Such is known to be the case, for example, for uniform amplitude shading plus the phasing required to steer the beam in some particular direction. Even for some types of non-uniform shading it appears that the summations involved in the beam pattern analysis can be carried out to closed form. One such type is that of shading consisting of cosine-squared on a pedestal. The purpose of this note is to derive the beam pattern equations in closed form for cosine-squared on a pedestal amplitude shading plus phasing for steering and to present some patterns computed from the results obtained.