Please help with the following:
Use a Taylor polynomial to approximate cos(0.75) with an error less than 0.001.
Thanks!
You should know that $\displaystyle \displaystyle \begin{align*} \cos{x} = \sum_{n = 0}^{\infty} \frac{(-1)^n \, x^{2n}}{(2n)!} \end{align*}$. So let $\displaystyle \displaystyle \begin{align*} x = 0.75 \end{align*}$ and keep adding terms until you reach your required accuracy (i.e. stop when you have enough digits repeating).