Difference between revisions of "Arccsc"
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| + | The [[function]] $\mathrm{arccsc} \colon \mathbb{R} \setminus (-1,1) \rightarrow \left[ -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right] \setminus \{0\}$ is the [[inverse function]] of the [[cosecant]] function. | ||
| + | |||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File: | + | File:Arccscplot.png|Graph of $\mathrm{arccsc}$. |
| + | File:Complexarccscplot.png|[[Domain coloring]] of $\mathrm{arccsc}$. | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
| − | < | + | =Properties= |
| + | [[Derivative of arccsc]]<br /> | ||
| + | |||
| + | =See Also= | ||
| + | [[Cosecant]] <br /> | ||
| + | [[Csch]] <br /> | ||
| + | [[Arccsch]] | ||
| + | |||
| + | {{:Inverse trigonometric functions footer}} | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 14:51, 19 September 2016
The function $\mathrm{arccsc} \colon \mathbb{R} \setminus (-1,1) \rightarrow \left[ -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right] \setminus \{0\}$ is the inverse function of the cosecant function.
Graph of $\mathrm{arccsc}$.
Domain coloring of $\mathrm{arccsc}$.
