ASINH Function

The Excel ASINH function returns the inverse hyperbolic sine of a number. Given one as input, the function returns 0.881373587 as output.

=ASINH(1) // returns 0.881373587

Explanation

The inverse hyperbolic sine returns the hyperbolic angle of the point on the unit hyperbola with a y-coordinate equal to the input. For example, given one as input representing the point on the unit hyperbola with a y-coordinate of one, the inverse hyperbolic sine returns the hyperbolic angle of 0.881373587.

=ASINH(1) // returns 0.881373587

Given an input of -2 corresponding to the point on the unit hyperbola with a y-coordinate of negative one, the inverse hyperbolic sine returns the hyperbolic angle of -1.443635475.

=ASINH(-2) // returns -1.443635475

The output of the inverse hyperbolic sine function is visualized in this plot:

Images courtesy of wumbo.net.