  In this paper, we studied the approximate scattering state solutions of the
Dirac equation with the hyperbolical potential with pseudospin and spin
symmetries. Using a suitable short range approximation within the formalism of
functional analytical method, we obtained the spin-orbit quantum numbers
dependent scattering phase shifts for the spin and pseudospin symmetries. The
normalization constants, lower and upper radial spinor for the two symmetries
and the relativistic energy spectra were presented. Our results reveal that
both the symmetry constants (C_ps and C_s) and the spin-orbit quantum number
\k{appa} affect scattering phase shifts significantly.
