
Graphing y = csc x
I have graphed y = csc x. I do not know what the yintercept would be. The graph doesn't cross the yintercept, so my hunch is that there would be no yintercept. But one of the xintercept coordinates passes through the yintercept, so I don't know if I should put "undefined" for the yintercept as well.
Additionally, I've had some troubles with finding equations for the asymptotes (xintercepts). I think it would just be x = (2k + 1)$\displaystyle \pi$, 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 $\displaystyle \pi$ would get you to a member of the $\displaystyle \pi$ family.
I would be happy as can be if someone could offer a little clarification.
Thank you

$\displaystyle y = \csc{x} = \frac{1}{\sin{x}}$
no yintercept since the cosecant function is undefined at x = 0.
vertical asymptotes occur at values of x where $\displaystyle sin{x} = 0$ ...
that would be at all integer multiples of $\displaystyle \pi $... $\displaystyle x = k\pi$

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