I found on this wikipedia page https://en.wikipedia.org/wiki/Transcendental_number

that $\sin a, \cos a, \tan a$ are transcendental numbers for $a \neq 0$ and algebraic. But there's no mention about their inverse, $\arcsin, \arccos, \arctan$.

I will also include $\operatorname{arcsinh}, \operatorname{arccosh}, \operatorname{arctanh}.$