I have a question where I am asked to find the amount of terms required in a Maclaurin polynomial to estimate $\cos(1)$ to be correct to two decimal places.
So far what I have done is used Taylor's Theorem to get the follow:
$$|R_n(x)| = (|f^{(n)}*x^n|)/n! < (x^n)/n! < 0.005$$
I think so far this is my best attempt but I am not really sure how to proceed from this point to calculate a value of $n$. I did write out a Maclaurin polynomial for $f(x) = \cos(x)$ and attempt to see if I plugged numbers into that to see what came out and compare that to $\cos(1)$ but was unable to make any sense of my answers there.
I am not sure if I am on the right track here and any feedback would be greatly appreciated,