Difference between revisions of "Arctan"
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The $\mathrm{arctan}$ function is the inverse function of the [[tangent]] function.<br /> | The $\mathrm{arctan}$ function is the inverse function of the [[tangent]] function.<br /> | ||
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<gallery> | <gallery> | ||
| − | File: | + | File:Arctanplot.png|Graph of $\mathrm{arctan}$ on $[-20,20]$. |
| − | File:Complexarctanplot.png|[[Domain coloring]] of $\mathrm{arctan}$ | + | File:Complexarctanplot.png|[[Domain coloring]] of $\mathrm{arctan}$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
=Properties= | =Properties= | ||
| − | < | + | [[Derivative of arctan]]<br /> |
| − | + | [[Antiderivative of arctan]]<br /> | |
| − | + | [[Relationship between arctan and arccot]]<br /> | |
| − | + | [[2F1(1/2,1;3/2;-z^2)=arctan(z)/z]]<br /> | |
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=References= | =References= | ||
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[[Arctanh]] | [[Arctanh]] | ||
| − | + | {{:Inverse trigonometric functions footer}} | |
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Latest revision as of 02:46, 16 September 2016
The $\mathrm{arctan}$ function is the inverse function of the tangent function.
Graph of $\mathrm{arctan}$ on $[-20,20]$.
Domain coloring of $\mathrm{arctan}$.
Properties
Derivative of arctan
Antiderivative of arctan
Relationship between arctan and arccot
2F1(1/2,1;3/2;-z^2)=arctan(z)/z
