Trigonometry

Inverse Hyperbolic Tangent

Inverse hyperbolic tangent of x.

Formula

Formula
atanh(x) = ½ ln(1+x1−x)

Variables

SymbolDefinitionType & rangeUnitsRole
x argument −1 < x < 1 input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenx = 0.5
Result0.5493061443
Example 2
Givenx = -0.25
Result-0.2554128119