What is the Taylor Polynomial for Arcsin x at a = 0 and n = 3?

[vigintitres]

Homework Statement

Find the Taylor polynomial T_n(x) for the function arcsin x at a = 0, n = 3

Homework Equations

Well, I understand the Taylor poly. for sine, but how do i get arcsine?

 

[rock.freak667]

Put f(x)=arcsin(x)
find f(0),f'(0) and so on and just put it into the formula.

 

[Alex6200]

Okay, is the problem that you don't know how to take the derivative or arcsin? Because if you can do that then the rest of the problem should be just like finding the taylor polynomial of sine.

I tried the problem out and the only thing that's different then the sine curve problem is that taking the derivative of arcsin is considerably harder.

 

[vigintitres]

thanks all, got it...