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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

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