use 5th degree taylor polynomial to approximate sin(1.2)

• Apr 26th 2010, 03:04 PM
yoman360
use 5th degree taylor polynomial to approximate sin(1.2)
(a) use the 5th degree taylor polynomial to approximate sin(1.2)

(b) determine the accuracy of part (a)
• Apr 26th 2010, 03:22 PM
Quote:

Originally Posted by yoman360
(a) use the 5th degree taylor polynomial to approximate sin(1.2)

(b) determine the accuracy of part (a)

$
\sin(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \ldots$

Sub in 1.2

For the error find the value of $\bigg{|}\frac{x^7}{7!}\bigg{|}$ which will be your maximum error.