This project may be done using MATLAB, EXCEL, MATHCAD, writing your own program or by hand using a calculator.

1. Find the truncated Taylor Series expansions f_n(x), n = 0,1,2,...,10 about the point x₀ = 0 for f(x) = cos(x).   Graph the even truncated series f_n(x), n = 0,1,2,...,10 along with f(x).
2. Use the truncated series f_n(x), n = 0,1,2,...,10 to approximate f(p /3) = cos p/3 = 0.5 by filling in the table below.  Express all answers to as many places after the decimal point as possible.

n	f(p/3)	fn(p/3)	ET = f (p/3) - fn(p/3)
0
1
2
3
4
5
6
7
8
9
10

Repeat Steps 1 and 2 for x₀ = p/6.