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Question

Go to the library and research Chebyshev polynomials, and write a report on your findings.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

In researching about Chebyshēv polynomials, it is said that they have various properties which makes them useful in terms of solving for polynomials and also for approximating functions.

We can define the $n^{th}$ Chebyshēv polynomial of the first kind $T_n(x)$ in the form

$T_n(x)=\cos(n\cos^{-1}x)$

or

$T_n(\cos\theta)=\cos n\theta$

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