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The Taylor series expansion for cos(x) is: cos(x)=12!x2+4!x46!x6+=n=0(2n)!(1)nx2n where x is in radians. Write a MATLAB program that determines cos(x) using the Taylor series expansion.

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The Taylor series expansion for cos(x) is: cos(x)=12!x2+4!x46!x6+=n=0(2n)!(1)nx2n 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 the n terms is Sn=Sn1+an. In each pass calculate the estimated error E given by E=Sn1SnSn1. Stop adding terms when E0.000001. The program displays the value of cos(x). Use the program for calculating: (a) cos(35) (b) cos(125) Compare the values with those obtained by using a calculator

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