Are there any proofs for (ir)rationality of the numbers $\sin(e)$, $\cos(e)$?

Asked Jul 13 '17 at 07:50

Active Apr 03 '18 at 03:03

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Are there any proofs for the (ir)rationality of the numbers $\sin(e)$, $\cos(e)$, $\tan(e)$, and $\cot(e)$? Thanking in advance for any references.

edited Apr 03 '18 at 03:03

asked Jul 13 '17 at 07:50

M.R. Yegan

1

This may be related to the algebraic independence of $\pi$ and $e$. – D_S Jul 13 '17 at 10:07
As a complete outsider to the field, I would guess that the transcendence of special constructs like these is completely unknown. – Lubin Apr 03 '18 at 03:11

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