%0 Journal Article %T Some New Results about Trigonometry in Finite Fields %A Amiri Naser %A Hasani Fysal %J Advances in Pure Mathematics %P 493-497 %@ 2160-0384 %D 2016 %I Scientific Research Publishing %R 10.4236/apm.2016.67035 %X In this paper, we study about trigonometry in finite field, we know that \"\" , the field with p elements, where p is a prime number if and only if p = 8k + 1 or p = 8k -1. Let F and K be two fields, we say that F is an extension of K, if K⊆F or there exists a monomorphism f: K→F. Recall that \"\", F[x] is the ring of polynomial over F. If \"\" (means that F is an extension of K), an element \"\" is algebraic over K if there exists \"\" such that f(u) = 0 (see [1]-[4]). The algebraic closure of K in F is \"\" , which is the set of all algebraic elements in F over K. %K Trigonometry %K Finite Field %K Primitive %K Root of Unity %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=67304