# Math Help - use 5th degree taylor polynomial to approximate sin(1.2)

1. ## 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)

2. 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.