Question

What is the domain of the relation y = arccscx?

Answer 1

Answer:

$y=arc\csc x$

Step-by-step 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 $y=arc\csc x$