## Trigonometry (11th Edition) Clone

$y = -csc~2x$ The asymptotes have the form $x = \frac{\pi}{2}n$, for any integer $n$. The period is $\pi$. We can see the graph below.
$y = -csc~2x$ When $x = -\frac{\pi}{2}$, then $y = -csc~(-\pi)~~$ (which is undefined) When $x = -\frac{\pi}{4}$, then $y = -csc~(-\frac{\pi}{2}) = 1$ When $x = 0$, then $y = -csc~0$ (which is undefined) When $x = \frac{\pi}{4}$, then $y = -csc~\frac{\pi}{2} = -1$ When $x = \frac{\pi}{2}$, then $y = -csc~\pi~~$ (which is undefined) The asymptotes have the form $x = \frac{\pi}{2}n$, for any integer $n$. The period is $\pi$. We can see the graph below.