# Math Help - Graphing y = csc x

1. ## Graphing y = csc x

I have graphed y = csc x. I do not know what the y-intercept would be. The graph doesn't cross the y-intercept, so my hunch is that there would be no y-intercept. But one of the x-intercept coordinates passes through the y-intercept, so I don't know if I should put "undefined" for the y-intercept as well.

Additionally, I've had some troubles with finding equations for the asymptotes (x-intercepts). I think it would just be x = (2k + 1) $\pi$, where k is an element of integers. But I'm not certain, I practically guessed to get that equation I thought adding any number to $\pi$ would get you to a member of the $\pi$ family.

I would be happy as can be if someone could offer a little clarification.

Thank you

2. $y = \csc{x} = \frac{1}{\sin{x}}$

no y-intercept since the cosecant function is undefined at x = 0.

vertical asymptotes occur at values of x where $sin{x} = 0$ ...
that would be at all integer multiples of $\pi$... $x = k\pi$

3. Thank you, once again, for your help. It was really useful.