HW$1\_4$ The Maclaurin series expansion of $cos(x)$ is shown below

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

Write a Python code that uses a while loop to implement a running sum which achieves $4$ significant figures accuracy. Print your result for $x=0\mathrm{.}25$ on screen using a formatted printing statement. It should only display the relevant significant figures.

Hints:

Use the factorial function from math library.

The while loop should start with while ea$>$es: $,$ where stopping criterion is calculated with formula, $e_s=0\mathrm{.}5{10}^{(2-n)}\%,$ with $n$ being the significant figures accuracy desired.