Develop a program to compute the Maclaurin series expansion for the cosine function:

$cosx=1-\frac{x^2}{2!}+\frac{x^4}{4!}-\frac{x^6}{6!}+\frac{x^8}{8!}-$cdots

The program should have the following features:

Iterate until the relative error falls below a stopping criterion $($es$)$ OR exceeds a maximum

number of iterations $($maxit$).$

Use es $=0\mathrm{.}000001$ and maxit$=100.$

Output should contain $-$

the estimate of $cos(x).$

o the approximate relative error,

the number of iterations.

$0$ and the true relative error.