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

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.

• 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 3 '18 at 3:11