Answer:
[tex]y=arc\csc x[/tex]
Step-by-step explanation:
The given function is [tex]y=arc\csc x[/tex].
The domain refers to all values of x for which this function is defined.
Recall that: the domain of [tex]y=arc \sin (x)[/tex] is [tex]-1\le x\le1[/tex]
And we know [tex]y=arc\csc x[/tex] is the reciprocal of [tex]y=arc \sin (x)[/tex].
Therefore the complement of the domain of [tex]y=arc \sin (x)[/tex] which is [tex](-\infty,-1]\cup [1,+\infty)[/tex] is the domain of [tex]y=arc\csc x[/tex]
