$($a$)$ Compute the Maclaurin polynomial $M_2(x)$ for $f(x)=cosx.$

$($b$)$ Use the polynomial of part $($a$)$ to estimate $cos(\frac{}{12}).$

$($c$)$ Use a calculator to compute the error made using the estimate from part $($b$)$ for the value of $cos(\frac{}{12}).$ Remember that the error is defined to be the absolute value of the difference between the true value and the estimate.