WE ARE USING PYTHON CODE ON ANACONDA FOR THIS. ONLY USE CODE FOR THIS PLEASE.

$*$Write $2$ iterations on paper to compare with the computer program's output.$*$

$4\mathrm{.}2$ The Maclaurin series expansion for $cosx$ is

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

Starting with the simplest version, $cosx=1,$ add terms one at a

time to estimate $cos(\frac{}{6}).$ After each new term is added, compute

the true and approximate percent relative errors. Use your pocket

calculator to determine the true value. Add terms until the absolute

value of the approximate error estimate falls below an error crite$-$

rion conforming to two significant figures.