Part of learning how to program efficiently is making your code reusable. Use your HW 3 Problem 4 to help solve this problem. The Taylor series expansion for sin(x) is 23 25 + x? sin(2) = +. (-1)" (2n + 1)! 22n+1 3! 5! 7! n=0 where x is in radians. Write a MATLAB program that determines sin(x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a loop for adding the terms of the Taylor series. If a(n) is the nth term in the series, then the sum S(n) of the n terms is S(n) = S(n 1) + a(n). In each pass, calculate the estimated error E given by S(n) S(n 1) E= S(n 1) Stop adding terms when E