The Taylor series expansion for cos(x) is:

where x is in radians. Write a MATLAB program that determines cos (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 an is the nth term in the series, then the sum Sn of then terms is sn €“ sn-1 + an. In each pass calculate the estimated error E given by E = sn €“ sn-1/sn-1. Stop adding terms when E (a) cos(35°)
(b) sin(125°)
Compare the values with those obtained by using a calculator.
 

(-1)". (2n)!" 2n cos(x) = 1-+ 2! 4! 6!