In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle …

The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh(x) = e x − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh(x) = e x + e-x 2 (pronounced "cosh") They use …

$\text{cosh} (x + 2k \pi i) = \text{cosh}\ x$ $\text{sech} (x + 2k\pi i) = \text{sech} x$ $\text{tanh} (x + k\pi i) = \text{tanh}\ x$ $\text{coth} (x + k\pi i) =\text{coth} x$ Relationship between inverse …

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …

2024年11月25日 · Learn the different hyperbolic trigonometric functions, including sine, cosine, and tangent, with their formulas, examples, and diagrams. Also, learn their identities.

Illustrated definition of Cosh: The Hyperbolic Cosine Function. cosh(x) (esupxsup esupminusxsup) 2 Dont confuse it with...

2020年9月25日 · sinh(-x) = -sinh(x); cosh(-x) = cosh(x); tanh(-x) = -tanh(x). Their ranges of values differ greatly from the corresponding circular functions: cosh(x) has its minimum value of 1 for …

Hyperbolic functions formulas - Sinh x, Cosh x, Tanh x & more. Properties of hyperbolic functions, Sample Problems on Hyperbolic functions, examples & more.

$\cosh x = e^{-x/2}$ for large negative values of x. Even if the x is negative, the graph of cosh x will ultimately remain above the graph of the $e^{-x/2}$ because the first part of the sum, …

The two basic hyperbolic functions are sinh and cosh. sinh(x) = (e x − e −x)/2 cosh(x) = (e x + e −x)/2 (From those two we also get the tanh, coth, sech and csch functions.) Here you see how …