Infrared reflectivity measurements, using p-polarized light at a grazi
ng angle of incidence, show an increased sensitivity to the optical co
nductivity of highly reflecting superconducting materials. We demonstr
ate that when this measurement technique is applied to the conventiona
l s-wave superconductor NbN, the results are in perfect agreement with
BCS theory. For the in-plane response of a La1.85Sr0.15CUO4 Single cr
ystal, in the superconducting state, we find a reduction of the optica
l conductivity in the frequency range below 20 meV. The observed frequ
ency dependence excludes an isotropic s-wave gap, but agrees well with
model calculations assuming a d-wave order parameter.