Chapter 4, Problem 3P

Perform the same computation as in Prob. 4.2, but use the Maclaurin series expansion for the sin x to estimate $\sin \left(\pi /3\right)$.

$\sin x=x-\frac{x^3}{3!}-\frac{x^5}{5!}-\frac{x^7}{7!}+\cdot \cdot \cdot$