Problem $1-$ modified Problem $23$

The Taylor series expansion for $cos(x)$ is:

$cos(x)=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}+$dots$={\displaystyle \underset{n=0}{\overset{}{}}}\frac{(-1{)}^n}{(2n)!}{x}^{2n}$

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.

$-$Use a for loop to compute the value of $cos(x)$ for total numbers of terms, $10,100,$ and $1000.$

$-$Plot the value of $cos(x)$ calculated by your code as a function of iteration number $n.$