# Chebyshev polynomial interpolation

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Calculate the five Chebyshev nodes in the interval [-1,1] which are used when interpolating with a degree four polynomial. Evaluate the function f(x)=2arcsin(x) at each of these points. Construct the degree four Chebyshev polynomial. Evaluate the resulting polynomial at x=0.8 and compare with the actual value of the function.

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#### Solution Preview

Please see the attached file.

I also suggest you check out the following website:

http://math.fullerton.edu/mathews/n2003/ChebyshevPolyMod.html

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#### Solution Summary

The solution demonstrates how to interpolate a function using Chebyshev polynomials. The resulting polynomials are compared for the actual value of a function.

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