## Polygonometric identities aka Trig identities for multiple distinct angles

On page 498 of the paper "THE COMBINATORIAL STRUCTURE OF TRIGONOMETRY" by ADEL F. ANTIPPA there are identities for trig functions of sums of n different angles.

http://www.emis.de/journals/HOA/IJMMS/2003/8475.pdf

Can you see a use for these identities? Perhaps some integral substitution like the more familiar identities are used for.

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 I suppose that the fact that they are quite pleasing is not an use for you :P – Mariano Suárez-Alvarez Jan 25 2010 at 3:28 Perhaps I'm misreading the tone of the question, but it doesn't seem one to which one can give a good answer – Yemon Choi Jan 25 2010 at 3:38 I'll rephrase the question to be more general. I was intrigued when I came across these. I want to see what thoughts anyone has about them. – Arf Jan 25 2010 at 3:46