# Inverse Hyperbolic Tangent Calculator

The calculator will find the inverse hyperbolic tangent of the given value.

The inverse hyperbolic tangent $$y=\tanh^{-1}(x)$$$or $$y=\operatorname{atanh}(x)$$$ or $$y=\operatorname{arctanh}(x)$$$is such a function that $$\tanh(y)=x$$$.

It can be expressed in terms of elementary functions: $$y=\tanh^{-1}(x)=\frac{1}{2}\ln\left(\frac{1+x}{1-x}\right)$$$. The domain of the inverse hyperbolic tangent is $$(-1,1)$$$, the range is $$(-\infty,\infty)$$$. It is an odd function. If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below. ## Your Input Find $$\operatorname{atanh}{\left(0 \right)}$$$.

$$\operatorname{atanh}{\left(0 \right)} = 0$$\$A