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Unsteady pressure distributions and stability derivatives on a slender circular cone performing oscillation in pitch in viscous hypersonic flow can be determined using the method of dynamic viscous pressure interaction developed by the present author. The method takes into account the relative motion between the body surface and the boundary-layer displacement surface and can be applied to arbitrary bodies and flow conditions, provided the relevant inviscid unsteady pressure distributions and the dependence of the boundary-layer displacement on the steady flow variables are known. In the present paper, practical closed-form formulas are given for the unsteady pressure distribution and the static and dynamic pitching moment derivatives for a slender right circular cone performing low-frequency, small-amplitude oscillation in pitch around zero mean incidence and completely submerged in the weak-interaction region of laminar boundary layer. (Author).