please show and explain steps

MATLAB

rs + + (2n + 1)!" n=0 The Taylor series expansion for sin(x) is x3 x? (-1)",2n+1 sin(x) = x 3! 5! 7! 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, is the nth term in the series, then the sum S, of the n terms is S = S-1 + an. In each pass calculate the estimated error E given by S.-Sn-1 Stop adding terms when E 50.000001. The program displays Sn1 the value of sin(x). Use the program for calculating: (a) sin(45) (b) sin(195). Compare the values with those obtained by using a calculator. E = Script 1 %Don't change the variable names 2 ya = 3 yb =