Write a Python code that calculates the Maclaurin expansion of $cos(x).$ Your program supposed to ask the user to enter the $x-$value and number of terms to be calculated.

a$.$ Your program should print out the exact solution, approximate solution with $4$ terms and relative true error for $x=0\mathrm{.}5.$

b$.$Your program should plot exact solution, $3-$term and $4-$term approximation of cosine function in an interval $-,.$

Enter $x$

$0\mathrm{.}5$

Enter the number of terms

$4$

Exact solution is $0\mathrm{.}878$

Approximate solution with $4$ terms is $0\mathrm{.}878$

Relative true error with $4$ terms is $0\mathrm{.}000$

$07fdfb34$cced$0>$