Cosh Calculator - Hyperbolic Cosine

Your details

Forward mode: enter x and get cosh(x), sinh(x), tanh(x), etc. Inverse mode: enter a known cosh value (>= 1) and recover x.
The input value. Any real number is valid.
cosh(x)
1.543081

Hyperbolic cosine

sinh(x)1.175201
tanh(x)0.761594
sech(x)0.648054
csch(x)0.850918
coth(x)1.313035
cosh² - sinh²1
cosh(x)1.543081
sinh(x)1.175201
tanh(x)0.761594

cosh(1) = 1.543081

  • cosh(1) = 1.543081. For |x| > 1 the function grows rapidly, doubling roughly every 0.7 units.
  • tanh(1) = 0.761594 -- hyperbolic tangent is always in (-1, 1) and approaches +/-1 as |x| grows.
  • The Pythagorean identity check: cosh^2 - sinh^2 = 1.000000 (exactly 1 in exact arithmetic).

Next stepTry x = ln(2) approx 0.693 to see cosh at a round point, or x = 1.317 for cosh = 2.

 = Powered by OnlyCalculators