using Matlab please


Exercise #3 (40%) The Taylor series expansion for sin(x) is (-1)”21 (2n1)! F(x) sin(x) = x- 3! 5! where x is in radians. Write a program in a script file that determines sin(x) using the Taylor series expansion: a) Ask the user to type a value for an angle in degrees. Hint: to convert angle from degree to radian use the following formula: radians= 180 degrees b) Use a for loop for adding the terms of the Taylor series: (-1)2n+1 is the n term in the series, then the sum as n-2:100 and a If n is defined Sn of = (2n+1)! the n terms is S Sa-1 + , and Fix+S Outside the loop, define a, =- and F = x +S S= In cach iteration calculate the estimated error E given by E Stop adding terms when E