Relation to trigonometric functions.
The signal property of Chebyshev
polynomials is the trigonometric representation on
Consider the following expansion using the Mathematica command "FunctionExpand."
We are interested in the polynomial form of Cos[n ArcCos[x]], however we will restrict our analysis to [-1,1].
Here is a list of several expansions.
(c) John H. Mathews 2004