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\"Series Approximation of Complex Functions\" Expansion in series is a common ap

ID: 3909744 • Letter: #

Question

"Series Approximation of Complex Functions" Expansion in series is a common approach used in Engineering to approximate trigonometric and other special functions (50 points) Write the MATLAB script "my_function.m" that implements an approximation for the function assigned to your CSU ID # Last Names [A-C Approximate the trigonometric function "cos(x)" as 2! 4! 6! (2N -2)! Last Names [D-z] Approximate the trigonometric function "sin(x)" as + xs + 31 sin(x) » x- + (-1)'N1) (2N -1)! [i.e., f(x) = cos(x) or sin(x)] and estimates the value of "f(x)" for a given argument value (in radians) "x". Test your script [function] for arguments ± ?/6 and ± 3?/4 (50 points) Write a script that uses your function to generate a Table of Results and Plots as shown below [illustrating the accuracy of the series approximation]

Explanation / Answer

For series approximation of sin(x):

Script to generate table: