Some closed-form evaluations of infinite products involving nested radicals

By applying double and triple angle identities for hyperbolic and trigonometric cosine functions, we obtain closed-form evaluations for two families of infinite products involving nested radicals. The first group of results represents a generalization of the classic Viete infinite product expansion for 2/pi, while the second comprises variations on Viete type infinite products and infinite products involving nested square roots of 2. In addition, specific examples of Viete type infinite product expansions are presented for such numbers as 3 root 3/2 pi and 3/pi.