Trigonometry

Inverse Hyperbolic Cosine

Inverse hyperbolic cosine of x.

Formula

Formula
acosh(x) = ln(x + x2−1)

Variables

SymbolDefinitionType & rangeUnitsRole
x argument x ≥ 1 input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenx = 2
Result1.316957897
Example 2
Givenx = 1
Result0