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

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