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# Cosecant
$$ y = \csc(x) $$
![Graph of cosecant](assets/graphsec.jpg)
$$ \csc(x) = \frac{1}{\sin(x)} $$
Because cosecant is the reciprocal of sine, when $\sin{x} = 0$, then cosecant is undefined. $|\sin$| is never *greater than* 1, so secant is never *less than* 1 in absolute value. When the graph of cosine crosses the x axis, an asymptote for a matching graph of secant will appear there.
The general form of secant is:
$$ y = A\sec(B{x} - C) + D $$
$A$, $B$, $C$, and $D$ will have similar meanings to the secant functions as they did to the sine and cosine functions.
# Examples
> Given $-2\tan(\pi*x + \pi) - 1$

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