Latest revision as of 03:38, 6 July 2016

The tangent function is defined as the ratio of the sine and cosine functions: $$\tan(z) = \dfrac{\sin(z)}{\cos(z)}.$$

Properties

Trigonometric functions

Sine

Tangent

Cosecant

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 The tangent function is defined as the ratio of the [[sine]] and [[cosine]] functions:
-$$\tan(x) = \dfrac{\sin(x)}{\cos(x)}.$$
+$$\tan(z) = \dfrac{\sin(z)}{\cos(z)}.$$
 <div align="center">
 <gallery>
-File:Tangent.png|Graph of $\tan$ on $\mathbb{R}$.
+File:Tangentplot.png|Graph of $\tan$ over $[-2\pi,2\pi]$.
-File:Complex tan.jpg|[[Domain coloring]] of [[analytic continuation]] of $\tan$.
+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]]