Basic objective of this article is to Discuss on Periodic and Symmetric Functions. Here analysis Periodic and Symmetric Functions in Trigonometry term. Functions that have this property are referred to as periodic functions. A function f is periodic if you have a positive real number q in ways that f(x + q) = f(x) for all x in the domain of f. The smallest possible value for q is actually this is true is named the period of farrenheit. The study of this periodic properties of circular functions contributes to solutions of many real‐world troubles. These problems include planetary movement, sound waves, electric recent generation, earthquake waves and tide movements.