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- Hyperbolic functions - Wikipedia
Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola Also, similarly to how the derivatives of sin (t) and cos (t) are cos (t) and –sin (t) respectively, the derivatives of sinh (t) and cosh (t) are cosh (t) and sinh (t) respectively
- Hyperbolic Sine -- from Wolfram MathWorld
It is implemented in the Wolfram Language as Sinh [z] Special values include sinh0 = 0 (2) sinh (lnphi) = 1 2, (3) where phi is the golden ratio The value sinh1=1 17520119 (4) (OEIS A073742) has Engel expansion 1, 6, 20, 42, 72, 110, (OEIS A068377), which has closed form 2n (2n+1) for n>1 The derivative is given by
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