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