Maeckes logo

<    1    >

Inverse hyperbolic cotangent

The inverse hyperbolic cotangent is written with logarithms as

Area functions can be described with logarithms because all hyperbolic functions are defined by exponential functions.



We'll start with the hyperbolic cotangent

Substitution of eθ = k gives

We continue only with the positive solution and substitute k = eθ so that

Now we take the logarithm from both sides

Substitution of θ = arcoth x gives


Deutsch   Español   Français   Nederlands   中文