Difference between revisions of "Tanh"

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[[Period of tanh]]<br />
 
[[Period of tanh]]<br />
 
[[Tanh is odd]]<br />
 
[[Tanh is odd]]<br />
 +
[[Tanh of a sum]]<br />
  
 
=See Also=
 
=See Also=

Revision as of 23:39, 21 October 2017

The hyperbolic tangent is defined by the formula $$\mathrm{tanh}(z)=\dfrac{\mathrm{sinh}(z)}{\mathrm{cosh}(z)},$$ where $\mathrm{sinh}$ is the hyperbolic sine and $\mathrm{cosh}$ is the hyperbolic cosine.

Properties

Derivative of tanh
Antiderivative of tanh
Relationship between tanh and tan
Relationship between tan and tanh
Relationship between sine, Gudermannian, and tanh
Relationship between tanh, inverse Gudermannian, and sin
Taylor series for Gudermannian
Pythagorean identity for tanh and sech
Period of tanh
Tanh is odd
Tanh of a sum

See Also

Arctan
Arctanh
Tangent

References

Hyperbolic trigonometric functions