In this paper, we introduce and check some properties of C−cosine and mixed Co−cosine families of bounded linear operators on non-Archimedean Banach spaces. We show some results for C−cosine and mixed Co−cosine families of bounded linear operators on non-Archimedean Banach spaces. In contrast with the classical setting, the parameter of mixed Co-cosine family of bounded linear operators belongs to a clopen ball Ωr of the ground field K. Examples are given to support our work.