8 15 6. The goal is for explanations to be driven by a. In the function factorial you are doing an int multiply before assigned to the double return value of the function. I:= ∫ sin x cos nx d x. 57. All you need to now is apply your limits, i. In this case we compute [Math Processing Error] a 0 = 2 3 and [Math Processing Error] a n = 4 ( − 1) n n 2 π 2. 19) for the coefficients in a Fourier cosine series. The second and most relevant is that the Fourier transform of the convolution of two functions is the product of the transforms of each function. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. x² X4 X6 (-1)*+1x(2k-2) cos(x) = 1- 16 2 (2k – 2)! a) Create a user defined function to approximate the value of cosine using the provided algorithm using a. Applying Maclaurin's theorem to the cosine and sine functions for angle x (in radians), we get. No. 1. 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