Graphs of Waves shows the details of the graphs of y = sin x and y = cos x. Close attention is paid to graphing one complete wave from 0 to 2π, including points corresponding to each of the special unit circle angles. This is far more detail than is necessary for most applications, but does show the roundedness of the waves. The pattern then repeats and this periodic nature is shown briefly to give students an understanding of the long range behavior of the functions.
Precalculus by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.