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Math function
ACOSH
Returns the inverse hyperbolic cosine of a number.
Rarely usedDifficulty 1350 · AdvancedUsage rank #313 of 520
When to use it
Inverse hyperbolic cosine. Defined for inputs of 1 or more.
The shape of it
- Syntax
=ACOSH(number)
Worked examples
One
=ACOSH(1) → 0
The minimum.
Ten
=ACOSH(10) → 2.993222846
Larger inputs grow slowly, like a log.
Two
=ACOSH(2) → 1.316957897
A typical value.
Worth knowing
- ACOSH(x) = LN(x+SQRT(x^2-1)).
- Appears in catenary (hanging cable) calculations.
- COSH inverts it.
Where it goes wrong
- #NUM! for input less than 1.
- Not the same as 1/COSH.
Related
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