Function ArcTanh(x)

ArcTanh

ArcTanh(
       x             ! (input) numerical expression
       )

Arguments

x

A scalar numerical expression in the range \((-1,1)\).

Return Value

The ArcTanh function returns the inverse hyperbolic tangent of x.

Graph

Example

_p_returnA := arcTanH(-0.99); ! returns -2.646652412362
_p_returnB := arcTanH( 0   ); ! returns  0
_p_returnC := arcTanH( 0.99); ! returns  2.646652412362

Note

• A run-time error results if x is outside the range \((-1,1)\).

• The function ArcTanh can be used in constraints of nonlinear mathematical programs.

See also

• The functions ArcCosh, ArcSinh, Tanh. Arithmetic functions are discussed in full detail in Arithmetic Functions of the Language Reference.

• Wikipedia