Definitions
General
The hyperbolic cosecant function is defined as:
The graph of the hyperbolic cosecant function is shown in the figure below.
![csch-graph](https://cdn.calcresource.com/images/eval-csch-defines-graph.rev.b26e324b48.png)
Series
All hyperbolic functions can be defined in an infinite series form. Hyperbolic cosecant function can be written as:
The above series converges for . Bn denotes the n-th Bernulli number.
Properties
The derivative of the hyperbolic cosecant function is:
The integral of the hyperbolic cosecant is given by:
Identities