Question

What domain makes the function y=csc(x) invertible?

[0, pi]
[-pi/2,0) u (0,pi/2]
[-pi/2,pi/2]
[0,pi/2) u (pi/2, pi]


How do you show your work on this?

Answer 1

you have to avoid the asymptotes, and make sure cscx is always increasing or decreasing.
So, B looks like your best bet.
Think of the graph of sin(x)