Function ArcSinh(x)

ArcSinh

ArcSinh(
       x             ! (input) numerical expression
       )

Arguments

x

A scalar numerical expression.

Return Value

The ArcSinh function returns the inverse hyperbolic sine of x in the range from \(-\infty\) to \(\infty\).

Graph

Example

_p_returnA := arcSinH(-1e9); ! returns -21.416413017506
_p_returnB := arcSinH(-1e3); ! returns -7.600902709542
_p_returnC := arcsinH( 0.0); ! returns 0
_p_returnD := arcSinH( 1e3); ! returns 7.600902709542
_p_returnE := arcSinH( 1e9); ! returns 21.416413017506

Note

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

See also

• The functions ArcCosh, ArcTanh, Sinh.

• Arithmetic functions are discussed in full detail in Arithmetic Functions of the Language Reference.

• Inverse Hyperbolic Functions (Wikipedia).