Friday, October 21, 2011

Hyperbolic Sine & Hyperbolic Cosecant

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.



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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,
  1. , , thus ;
  2. , , thus ;
  3. , , thus ;
  4. , , thus .
Again, slide the value of 'a' to view the changes of the graph.



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