This may be a dumb question but I wanted to know if there was a different way of writing sin(ab) similar to that of the addition formula or is it unnecessary?
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1Have a look at https://en.wikipedia.org/wiki/Chebyshev_polynomials – Donald Splutterwit Oct 04 '19 at 10:17
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those polynomials work when $a$ is a natural number – J. W. Tanner Oct 04 '19 at 14:26