2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73266We investigate several infinite product of cosines and find the closed form using the Fourier transform. The answers provide limiting distributions for some elementary probability experiments.10 pages, 4 figuresClassical Analysis and ODEsProbability40A20 (Primary) 60B10, 60E10 (Secondary)Cosine products, Fourier transforms, and random sumstext