Difference between revisions of "Arccot"
From specialfunctionswiki
| (7 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | + | __NOTOC__ | |
| + | The [[function]] $\mathrm{arccot} \colon \mathbb{R} \rightarrow \left( - \dfrac{\pi}{2}, \dfrac{\pi}{2} \right] \setminus \{0\}$ is the [[inverse function]] of the [[cotangent]] function. | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File: | + | File:Arccotplot.png|Graph of $\mathrm{arccot}$ on $\mathbb{R}$. |
| − | File: | + | File:Complexarccotplot.png|[[Domain coloring]] of $\mathrm{arccot}$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
=Properties= | =Properties= | ||
| − | + | [[Derivative of arccot]] | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
=References= | =References= | ||
| Line 28: | Line 20: | ||
[[Arccoth]] | [[Arccoth]] | ||
| − | + | {{:Inverse trigonometric functions footer}} | |
| + | |||
| + | [[Category:SpecialFunction]] | ||
Latest revision as of 03:44, 6 July 2016
The function $\mathrm{arccot} \colon \mathbb{R} \rightarrow \left( - \dfrac{\pi}{2}, \dfrac{\pi}{2} \right] \setminus \{0\}$ is the inverse function of the cotangent function.
Graph of $\mathrm{arccot}$ on $\mathbb{R}$.
Domain coloring of $\mathrm{arccot}$.
Properties
References
Which is the correct graph of arccot x?
