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I was solving this problem using backward interpolation

https://dl.dropboxusercontent.com/u/49829206/1.PNG [Broken]

and I got this solution

https://dl.dropboxusercontent.com/u/49829206/3.PNG [Broken]

but What I don't get is that how come is the the forth difference is constant while it not in real because forth difference of sin(x) will be either cos(x) or sin(x)

Edit: images replaced with links, please don't post images wider than about 800 pixels.

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# Interpolation problem

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