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ASINH, ACOSH, and ATANH: inverse hyperbolic functions and domain limits

Evaluate inverse hyperbolic sine, cosine, and tangent transformations—including Fisher Z correlation transforms with ATANH.

Domains of ASINH, ACOSH, and ATANH

ASINH(x) accepts any real number, ACOSH(x) requires x >= 1, and ATANH(x) requires -1 < x < 1 (used in Fisher z-transformation of correlation r).

Passing x < 1 to ACOSH or ABS(x) >= 1 to ATANH returns #NUM!.

=ROUND(ATANH(B2), 6)

Try the example

Use the original values or change them to test your understanding.