Possible Duplicate:
How to solve f(f(x)) = cos(x) ?
$f(f(x))=sin x$
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closed as exact duplicate by David Roberts, S. Carnahan♦ Jun 13 at 9:38 |
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Answered here http://mathoverflow.net/questions/17605/how-to-solve-ffx-cosx Or even more general here http://mathoverflow.net/questions/17614/solving-ffxgx |
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I don't know if this helps you, but you may write it also as: $f(f(x)) = \frac{1}{2} ie^{-i x}-\frac{1}{2} i e^{ix}$ |
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