HW6P2 (15 points) The following are infinite series representations of the functions sine and cosine along with the exponential. n+1 sin(x)-?(-1)" (2n + 1)! n-0 7L cos(x)-? (-1)" (2n)! rl n-0 Performing the summation only to N terms is called a partial sum and is denoted Sv. 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 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 S(1) S(2) a) sin (pi/3) -0.8558007816, -0.8662 952838, Error 1.022462221932130E-02. = Error 2.698800023961390E-04 = Use fprintf inside the loop with format i for N (1, 2, .., 5) and format.10f for the value of Sw and format.15E for the Error Hint: You can use the MATLAB function factorial () to determine the factorial. However DO NOT use the sum ) function in MATLAB