Is the domain of $x$ stated for these formulae on the Wikipedia page correct?

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In the Wikipedia page https://en.wikipedia.org/wiki/Inverse_trigonometric_functions it is mentioned for the formulae shown in the image(click here) that the value of $x$ must be between $0$ and $1$.But how is that possible?

$\sec^{-1}(x)$ and $\csc^{-1}(x)$ are not even defined in that region.

My doubts:

  • Is the assumption that $0<x<1$ wrong for the formulae?

  • If yes, what is the correct domain of $x$ for validity of all the formulae?I suppose that just $x>0$ will suffice provided that it is within the domain of the individual function being dealt with.


P.S:Just adding a miniature screenshot of that part of the Wikipedia page, so that viewers can locate the formulae written on that page faster.(Click On The Image To Expand)

enter image description here