Functions and Analysis

    

Reduction Formulas of the Cosine of Integer Fractions of Pi

Authors: Richard J. Mathar

The power of some cosines of integer fractions pi/n of the half circle allow a reduction to lower powers of the same angle. These are tabulated in the format sum_{i=0}^[n/2] a_i^n cos^i(pi/n)=0; n=2,3,4,...Related expansions of Chebyshev Polynomials T_n(x) and factorizations of T_n(x)+1 are also given.

Comments: 20 Pages. Version 2 includes minimal polynomials for sines and tangents.

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Submission history

[v1] 2022-10-07 01:58:07
[v2] 2025-09-06 23:01:14

Unique-IP document downloads: 531 times

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