Question: I need the script code of the Matlab. HW6P2 (15 points) The following are infinite series representations of the functions sine and cosine along with

 I need the script code of the Matlab. HW6P2 (15 points)I need the script code of the Matlab.

HW6P2 (15 points) The following are infinite series representations of the functions sine and cosine along with the exponential. x2n+1 (2n 1)! sinx)1 (2n + 1) cos(x) = 2(-1)"(2 2n (2n)! 72 n! n-o Performing the summation only to N terms is called a partial sum and is denoted S. 7t Use nested for loops to compute the first 5 partial sums with N 1, 2,3, 4 and 5 in order to estimate the following: a) sin(/3) b) cos(/4) c) e-2 Assuming that MATLAB sin), cos ) and exp ) functions return exact values of the functions, calculate the absolute difference between the value of the function determined by your code and that determined by the built-in functions of MATLAB and assign this difference to a variable name Error. The error term vanishes as N increases. For every function, (sin, cos and e). Your display in the command window for part (a) must be shown as: PART a) sin(pi/3) s(1) 0.8558007816, Error- 1.0224622219321308-02. S (2) = 0.8662952838, Error- 2.698800023961390E-04. S(-) = , Error s(Error Use fprintf inside the loop with format i for N (1,2,.., 5) and format 10f for the value of Sw and format. 1SE for the Error. Hint: You can use the MATLAB function factorial) to determine the factorial However, DO NOT use the sum) function in MATLAB

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