Difference between revisions of "Tangent"
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File:Tangentplot.png|Graph of $\tan$ over $[-2\pi,2\pi]$. | File:Tangentplot.png|Graph of $\tan$ over $[-2\pi,2\pi]$. | ||
File:Complextangentplot.png|[[Domain coloring]] of $\tan$. | File:Complextangentplot.png|[[Domain coloring]] of $\tan$. | ||
| + | File:Trig Functions Diagram.svg|Trig functions diagram using the unit circle. | ||
</gallery> | </gallery> | ||
</div> | </div> | ||
=Properties= | =Properties= | ||
| − | + | [[Derivative of tangent]]<br /> | |
| − | + | [[Relationship between tan and tanh]]<br /> | |
| − | + | [[Relationship between tanh and tan]]<br /> | |
| − | + | [[Relationship between tangent, Gudermannian, and sinh]]<br /> | |
| − | + | [[Relationship between sinh, inverse Gudermannian, and tan]]<br /> | |
=See Also= | =See Also= | ||
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[[Arctanh]] <br /> | [[Arctanh]] <br /> | ||
| − | + | =References= | |
| + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Cosine|next=Cosecant}}: 4.3.3 | ||
| + | |||
| + | {{:Trigonometric functions footer}} | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 03:38, 6 July 2016
The tangent function is defined as the ratio of the sine and cosine functions: $$\tan(z) = \dfrac{\sin(z)}{\cos(z)}.$$
Graph of $\tan$ over $[-2\pi,2\pi]$.
Domain coloring of $\tan$.
Trig functions diagram using the unit circle.
Properties
Derivative of tangent
Relationship between tan and tanh
Relationship between tanh and tan
Relationship between tangent, Gudermannian, and sinh
Relationship between sinh, inverse Gudermannian, and tan
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 4.3.3
