The ASINH function returns the inverse hyperbolic sine of a number. The inverse hyperbolic sine is the value whose hyperbolic sine is number, so ASINH(SINH(number)) equals number.

Syntax

=ASINH(number)

Arguments

Argument Description
number Any real number

Examples

  A B C
1 Formula Result Notes
2 =ASINH(-2.5) -1.647231146 Inverse hyperbolic sine of -2.5
3 =ASINH(0) 0 Inverse hyperbolic sine of 0
4 =ASINH(10) 2.99822295 Inverse hyperbolic sine of 10

Common Function Error(s)

Problem What went wrong
#VALUE! Occurs if the supplied number argument is not a numeric value

The ASINH function returns the inverse hyperbolic sine, which is calculated as:  

    \[    asinh(z) = ln \left(z + \sqrt{z^2+1} \right)   \]

See Wikipedia for more information on Inverse Hyperbolic Function.