Hyperbolic functions - Wikipedia
Hyperbolic functions are analogues of trigonometric functions, but defined using the hyperbola. Learn how to define cosh x, the hyperbolic cosine, and its related functions, and explore their properties and applications.
Hyperbolic Functions - Math is Fun
Learn about the basic hyperbolic functions sinh, cosh, tanh, coth, sech and csch, and how they relate to a hyperbola. Find out their definitions, identities, derivatives and examples of catenary curves.
Hyperbolic Functions - sinh, cosh, tanh, coth, sech, csch - Math10
Learn the definition, formulas and graphs of hyperbolic functions, including cosh x, which is the hyperbolic cosine of x. Find out how cosh x relates to other hyperbolic and trigonometric functions, and how to use inverse hyperbolic functions.
Trigonometry/Cosh, Sinh and Tanh - Wikibooks
Sep 25, 2020 · 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 x = 0, and tends to infinity as x tends to plus or minus infinity;
Hyperbolic Trigonomic Identities - Math2.org
Learn the definitions, properties and formulas of hyperbolic trigonometric functions, such as sinh (x), cosh (x), tanh (x) and coth (x). See how they relate to trigonometric functions and inverse hyperbolic functions.
Hyperbolic Trigonometric Functions | Brilliant Math & Science …
Learn how to define and derive the hyperbolic sine and cosine functions from exponential forms and their relation to trigonometric functions. See examples of hyperbolic functions in real-life situations and applications.
December 1, 2006. Many of you are unfamiliar with hyperbolic functions. Here is a crash course on hyperbolic functions. Trigonometric functions could be called circular functions since (cos t, sin t) is a parameterization of the circle x2 + y2 = 1.
6.9 Calculus of the Hyperbolic Functions - OpenStax
Learn how to differentiate and integrate the hyperbolic functions and their inverses, and how to apply them to catenary curves. See formulas, graphs, examples, and exercises with solutions.
4.11: Hyperbolic Functions - Mathematics LibreTexts
Dec 21, 2020 · So for some suitable \(t\), \(\cosh t\) and \(\sinh t\) are the coordinates of a typical point on the hyperbola. In fact, it turns out that \(t\) is twice the area shown in the first graph of Figure \(\PageIndex{2}\).
4.11 Hyperbolic Functions - Whitman College
Learn how to define and graph the hyperbolic functions coshx, sinhx, tanhx, cothx, sechx and cschx, and how to compute their derivatives and inverses. See examples, exercises and geometric interpretations of the hyperbolic functions.