- #1
jumbogala
- 423
- 4
Homework Statement
The formula for the Maclaurin Polynomial of sin(x) can be found on this page: http://www.tvalx.com/MathArticles/ExploringTaylorPolynomials/ExploringTaylorPolynomials.htm
(close to the top).
Find the Mauclaurin Polynomial of degree 4. Use it to estimate sin(0.5).
Homework Equations
The Attempt at a Solution
I tried evaluating the formula for n=0, 1, 2, 3, and 4.
0 --> x
1 --> (-1/6)x^3
2 ---> (1/120)x^5
3 ---> (-1.98E-4)x^7
4 ---> (2.76E-6)x^9
Now I'll plug in x = 0.5 for each one, and add them all up. When I do that, I get 0.479. Which seems to be right, because when I actually evaluate sin(0.5) I get the same thing.
Am I doing something wrong? The answer key gives a different answer =/
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