while hyperbolic cotangent is the reciprocal of hyperbolic tangent, and it is defined as
If we want to sketch the graph of the earlier function, think of the y-intercept and limits below:
If we want to sketch the graph of the later function, think of the limits below:
The concept above applied for all values of a > 0. You may slide the value of 'a' below to look at the changes of and for different values of 'a'.
Betty, Created with GeoGebra