International Journal of Wireless and Ad Hoc Communication IJWAC 2692-4056 10.54216/IJWAC https://www.americaspg.com/journals/show/1348 2019 2019 Electronics and Communications Engineering Dep., Faculty of Engineering, Delta University for Science and Technology, Gamasa City, Mansoura, Egypt Mohamed Mohamed Department of Communications and Electronics, Delta Higher Institute of Engineering and Technology, Mansoura, 35111, Egypt El-Sayed M. El El-Kenawy Computer Engineering and Control Systems Department, Faculty of Engineering, Mansoura University, 35516, Mansoura Egypt Abdelhameed Ibrahim Faculty of Artifcial Intelligence, Delta University for Science and Technology, Mansoura, Egypt Marwa M. Eid Computer Science Department, Faculty of Computer and Information Sciences, Ain Shams University, Cairo, 11566, Egypt Abdelaziz A. Abdelhamid Trigonometric functions are essential part of digital communication systems such as receivers, synthesizers, and phase locked loop. Implementation of trigonometric functions requires many arithmetic units; multipliers and adders circuits which reduces the speed of operation and consumes much power. In this paper we introduce two approximation methods to represents sine, and cosine functions to achieve fast operation and low power consumption. The simulations indicate a matching between the ideal trigonometric functions and the approximation method with 0.001 error which considered as trivial amount. 2021 2021 102 109 10.54216/IJWAC.030205 https://www.americaspg.com/articleinfo/20/show/1348