How this calculation works
Evaluate hyperbolic sine and cosine together and check their ratio.
THE FORMULA
sinh x=(eˣ−e⁻ˣ)/2, cosh x=(eˣ+e⁻ˣ)/2A worked example
At x=ln 2, sinh x=0.75 and cosh x=1.25.
Good to know
The input is a real number without angular units.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Evaluate hyperbolic sine and cosine together and check their ratio.
The primary result is labeled “Hyperbolic sine”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The input is a real number without angular units.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
At x=ln 2, sinh x=0.75 and cosh x=1.25.
Which rule does this calculator apply?
sinh x=(eˣ−e⁻ˣ)/2, cosh x=(eˣ+e⁻ˣ)/2