The Excel ASINH function returns the inverse hyperbolic sine of a number — the value whose hyperbolic sine (SINH) is the given number. It accepts any real number.
Syntax
| Argument | Description | |
|---|---|---|
number | Required | Any real number. ASINH returns the value whose SINH equals that number. |
How to use it
ASINH is the inverse of SINH (the hyperbolic sine). It is not a circular trig function, so its result is a plain number, not an angle — no DEGREES conversion applies. ASINH accepts any real number:
Mathematically ASINH(x) = LN(x + SQRT(x^2 + 1)), which is why it works for every real value — there is no domain limit, unlike ACOSH or ATANH. The hyperbolic functions appear in catenary curves, statistics (the asinh data transform), and engineering.
Hyperbolic, not circular: ASINH undoes SINH, not SIN. Its output is a number on the real line, so do not wrap it in DEGREES.
Try it: interactive demo
Pick a ASINH example to see the formula and its result.
Practice workbook
Frequently asked questions
Does ASINH have a domain limit?
x + SQRT(x^2+1) is always positive.Is the ASINH result an angle?
How is ASINH defined?
ASINH(x) = LN(x + SQRT(x^2 + 1)). You can reproduce ASINH with that LN formula in any Excel version.What is the inverse of ASINH?
SINH, the hyperbolic sine. =ASINH(SINH(2)) returns 2, confirming they are inverses.Master functions like this in one day
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