Function ArcCosh(x)

ArcCosh

ArcCosh(
       x             ! (input) numerical expression
       )

Arguments

x

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

Return Value

The ArcCosh function returns the inverse hyperbolic cosine of x in the range from \(0\) to \(\infty\).

Graph

Example

_p_return1   := arcCosH(1);   ! returns 0
_p_return1e3 := arcCosH(1e3); ! returns 7.60
_p_return1e6 := arcCosH(1e6); ! returns 14.51
_p_return1e9 := arcCosH(1e9); ! returns 21.42
_p_return0   := arcCosH(0);   ! Runtime error

Note

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

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

See also

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

• Wikipedia