An alternative representation of the Vi\`ete's formula for pi by Chebyshev polynomials of the first kind

TL;DR

This paper introduces a new analog of Viète's formula for pi using Chebyshev polynomials of the first kind, expanding the mathematical representations of pi.

Contribution

It presents a novel reformulation of Viète's formula for pi through Chebyshev polynomials, offering an alternative mathematical perspective.

Findings

New analog of Viète's formula for pi

Utilizes Chebyshev polynomials of the first kind

Expands mathematical representations of pi

Abstract

There are several reformulations of the Vi\`ete's formula for pi that have been reported in the modern literature. In this paper we show another analog to the Vi\`ete's formula for pi by Chebyshev polynomials of the first kind.