Difference between revisions of "Arccot"
From specialfunctionswiki
(Created page with "500px") |
|||
| Line 1: | Line 1: | ||
| + | There are two functions commonly called $\mathrm{arccot}$, which refers to inverse functions of the [[cotangent | $\mathrm{cot}$]] function. First is the function $\mathrm{arccot_1}\colon \mathbb{R} \rightarrow (0,\pi)$ which results from restricting cotangent to $(0,\pi)$ and second is the function $\mathrm{arccot_2} \colon \mathbb{R} \rightarrow \left( -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right) \setminus \{0\}$ which results from restricting cotangent to $\left( -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right)$. | ||
| + | |||
| + | [[File:Arccots.png|500px]] | ||
| + | |||
[[File:Complex ArcCot.jpg|500px]] | [[File:Complex ArcCot.jpg|500px]] | ||
| + | |||
| + | =References= | ||
| + | [http://www.intmath.com/blog/which-is-the-correct-graph-of-arccot-x/6009 Which is the correct graph of arccot x?] | ||
Revision as of 23:36, 25 October 2014
There are two functions commonly called $\mathrm{arccot}$, which refers to inverse functions of the $\mathrm{cot}$ function. First is the function $\mathrm{arccot_1}\colon \mathbb{R} \rightarrow (0,\pi)$ which results from restricting cotangent to $(0,\pi)$ and second is the function $\mathrm{arccot_2} \colon \mathbb{R} \rightarrow \left( -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right) \setminus \{0\}$ which results from restricting cotangent to $\left( -\dfrac{\pi}{2}, \dfrac{\pi}{2} \right)$.
