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ATANH function in Excel

Returns the inverse hyperbolic tangent of a number

=ATANH(number)

ATANH syntax and parameters

One argument, one required.

  • numbernumberRequired

    Any real number between 1 and -1.

ATANH examples

Formulas you'll actually reuse.

  1. Inverse hyperbolic tangent — the input must be strictly between −1 and 1:

    =ATANH(B2)

    Result0.5493

  2. Twice ATANH gives LN((1+x)/(1−x)) — handy in correlation statistics:

    =ATANH(B2) * 2

    Result1.0986

ATANH in Google Sheets

Same name — your formula ports as-is.

Try ATANH in the playground

Edit the example — nothing to install.

Preloaded with the ATANH formula from Example 1 — change anything and watch it respond.

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ATANH errors

What they mean — and the fixes.

  • #NUM!

    The number is −1, 1, or outside that range — ATANH needs |x| < 1.

Related functions

More ways Excel gets this done.