Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series. We are going to do something that might seem foolish, but in a moment we will ask you to consider the possibilities for such a goal.GOAL: Represent the function f(x) = x on the interval [-pi, pi] as a sum of trigonometric functions of the form sin(n x), n = 1,2,3, . . . .We decided to shout it out so it is ab…