PRODUCTS
Mathematica
Mathematica for Students
Mathematica for the Classroom
grid
Mathematica
web
Mathematica
Mathematica Player
(free download)
Mathematica Player Pro
Wolfram
Workbench
Mathematica
Applications
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
FOR USERS
All User Resources
Product Registration
Technical Support
Customer Service
Developer Support
Does My Site Have a License?
Free Seminars
Certified Training
Custom Group Seminars
Documentation & Examples
Tutorial Screencasts
Video Gallery
Demonstrations Project
Education Portal
Student Resources
COMPANY
About Wolfram Research
News & Events
Wolfram Blog
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Wolfram Blog
Mathematica Journal
Wolfram Library Archive
Wolfram
Tones
Wolfram Science
Stephen Wolfram
DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Elementary Functions
>
Hyperbolic Functions
>
Built-in
Mathematica
Symbol
Elementary Transcendental Functions
Tutorials »
|
ArcTanh
Sinh
Coth
Tan
TrigToExp
TrigExpand
See Also »
|
Elementary Functions
Hyperbolic Functions
Mathematical Functions
More About »
Tanh
Tanh
[
z
]
gives the hyperbolic tangent of
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
Sinh
[
z
]/
Cosh
[
z
]
is automatically converted to
Tanh
[
z
]
.
TrigFactorList
[
expr
]
does decomposition.
For certain special arguments,
Tanh
automatically evaluates to exact values.
Tanh
can be evaluated to arbitrary numerical precision.
Tanh
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(11)
Generalizations & Extensions
(3)
Applications
(4)
Properties & Relations
(13)
Possible Issues
(4)
Neat Examples
(1)
SEE ALSO
ArcTanh
Sinh
Coth
Tan
TrigToExp
TrigExpand
TUTORIALS
Elementary Transcendental Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
MORE ABOUT
Elementary Functions
Hyperbolic Functions
Mathematical Functions
New in 1 | Last modified in 3
© 2008 Wolfram Research, Inc.
.
EXAMPLES
Basic Examples 
Scope 