The Taylor series expansion for sin(x) is (-1)" sin(x) x- (2n 0 3! 57 where r 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+a In each pass calculate the estimated eror E given by S-S Stop adding terms when Es0.000001. The program displays E = the value of sin(x).Use the program for calculating: (a) sin(45) Compare the values with those obtained by using a calculator. (b) sin(195)