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We consider a quasi two-dimensional superconductor with line nodes in anin-plane magnetic field, and compute the dependence of the specific heat, $C$,and the in-plane heat conductivity, $\kappa$, on the angle between the fieldand the nodal direction in the vortex state. We use a variation of themicroscopic Brandt-Pesch-Tewordt method that accounts for the scattering ofquasiparticles off vortices, and analyze the signature of the nodes in $C$ and$\kappa$. At low to moderate fields the specific heat anisotropy changes signwith increasing temperature. Comparison with measurements of $C$ and $\kappa$in CeCoIn$_5$ resolves the contradiction between the two in favor of the$d_{x^2-y^2}$ gap.Comment: 5 pages, 3 figure

Nodal Structure of Quasi-Two-Dimensional Superconductors Probed by a Magnetic Field