Epitaxially grown multilayer systems offer the possibility to study the influence of ferromagnetism on superconductivity in a controlled way. In this paper, we explore how the superconducting properties of high quality epitaxially grown superconductor/normal-metal/ferromagnet trilayers evolve as a function of the exchange splitting in the ferromagnet and the thickness of the normal-metal layer. We report results for Nb͑110͒/ Au͑111͒/Co͑0001͒ and make a detailed comparison with earlier results for Nb͑110͒/Au͑111͒/Fe͑110͒. We use quantitative fast Fourier transform analysis to confirm the existence of a long-period ͑2.1 nm͒ oscillation in the superconducting transition temperature T c as a function of the Au-layer thickness t Au for t Au Ͼ 2 nm and highlight an additional short-period ͑0.76 nm͒ oscillation for t Au Ͻ 3 nm in Nb/Au/Co. This short-period oscillation can be explained in terms of a damped Ruderman-Kittel-Kasuya-Yoshida-like oscillation of the spin polarization in Au. The robustness of the long-period oscillation against the substitution of Co for Fe suggests that it is intrinsic to the Au͑111͒ layer on Nb and may represent a form of quantum interference in very clean trilayer systems.