Comparison of the emergent specific intensity at three angles (from the Gaussian quadrature μ = 0.113,0.5,0.887, i.e. ) for the fiducial model computed using the exact angle-dependent RF (solid curves in both panels) with the spectra based on the approximate angle-dependent RF (top panel, dashed curves) and exact angle-averaged RF (bottom panel, dashed curves). In the bottom sub-panels, the ratios of the accurate spectra to the approximate spectra for the three angles are shown.