1 Answer

Liamhawkins · Answer 1 · 2021-10-12T15:51:09+0000

Answer:

$y=arc\csc x$

Explanation:

The given function is
$y=arc\csc x$ .

The domain refers to all values of x for which this function is defined.

Recall that: the domain of
$y=arc \sin (x)$ is
$-1\le x\le1$

And we know
$y=arc\csc x$ is the reciprocal of
$y=arc \sin (x)$ .

Therefore the complement of the domain of
$y=arc \sin (x)$ which is
$(-\infty,-1]\cup [1,+\infty)$ is the domain of
$y=arc\csc x$

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