Chapter 3, Problem 10P

Determine the number of terms necessary to approximate $\cos x$ to 8 significant figures using the Maclaurin series approximation

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

Calculate the approximation using a value of $x=0.3\pi$. Write a program to determine your result.