Posted by **Kiksy** on Monday, March 14, 2011 at 10:34pm.

Hello,

I am learning about Taylor series in school, but they are quite confusing..

Can you please explain how I should do this problem? Thank you very much!

What is the Taylor polynomial of order 5 approximation to sin(1.5) ?

I know the series of sinx = x - ((x^3)/(3!)) + ((x^5)/(5!))-...+...

but where do i go from here?

THANK YOU~

- Math -
**MathMate**, Tuesday, March 15, 2011 at 10:25am
If

"I know the series of sinx = x - ((x^3)/(3!)) + ((x^5)/(5!))-...+..."

this is given, you only have to substitute 1.5(in radians) as x into the above series up to x^5 as requested.

For example:

sin(1.5)=1.5-1.5^3/3!+...

However, in practice, I would not stop at order 5 because the error is excessive for this value of x.

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