The hyperbolic sine function is defined as

or generally,

Look at the graph below, try to slide the value of '

*a*' to different values to view the changes on graph.

Now, take a look at the graph of the reciprocal of hyperbolic sine function, i.e. hyperbolic cosecant function, which is defined as

.
Observe that when

*a* =1,

- , , thus ;
- , , thus ;
- , , thus ;
- , , thus .

Again, slide the value of '

*a*' to view the changes of the graph.

Betty, Created with GeoGebra
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