  We demonstrate the existence of distribution functions that can be used to
represent spherical massless cored stellar systems embedded in cuspy dark
matter halos with constant mildly tangential velocity anisotropy. In
particular, we derive analytically the functional form of the distribution
function for a Plummer stellar sphere in a Hernquist dark halo, for \beta_0 =
-0.5 and for different degrees of embedding. This particular example satisfies
the condition that the central logarithmic slope of the light profile \gamma_0
> 2 \beta_0. Our models have velocity dispersion profiles similar to those
observed in nearby dwarf spheroidal galaxies. Hence they can be used to
generate initial conditions for a variety of problems, including N-body
simulations that may represent dwarf galaxies in the Local Group.
