Hyperbolic functions - Wikipedia
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 with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.
Tanh - Cuemath
In this short lesson, you will learn about Tanh hyperbolic function and its properties including tanh function, tanh calculator, tanh formula, and tanh equation. You can see the graphical representation of the Tanh function in the image below.
tanh(x) - Wolfram|Alpha
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Hyperbolic Tangent -- from Wolfram MathWorld
5 天之前 · By way of analogy with the usual tangent. the hyperbolic tangent is defined as. where is the hyperbolic sine and is the hyperbolic cosine. The notation is sometimes also used (Gradshteyn and Ryzhik 2000, p. xxix). is implemented in the Wolfram Language as Tanh [z]. Special values include. where is the golden ratio. The derivative of is.
Tanh Calculator
This tanh calculator is the ultimate tool you need to deal with the hyperbolic tangent function! In what follows, we will explain what tanh is in math and how to calculate both the inverse and the derivative of tanh. We won't forget to give you extra tips on how to use this hyperbolic tangent calculator most efficiently. Let's go!
Tanh: Get the hyperbolic tangent—Wolfram Documentation
Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh [ α ] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via .
Hyperbolic Functions - Math is Fun
Hyperbolic tangent "tanh" (pronounced "than"): tanh(x) = sinh(x) cosh(x) = e x − e-x e x + e-x. tanh vs tan . Hyperbolic cotangent: coth(x) = cosh(x) sinh(x) = e x + e-x e x − e-x . Hyperbolic secant: sech(x) = 1 cosh(x) = 2 e x + e-x . Hyperbolic cosecant "csch" or "cosech": csch(x) = 1 sinh(x) = 2 e x − e-x. Why the Word "Hyperbolic" ?
Hyperbolic Functions - sinh, cosh, tanh, coth, sech, csch - Math10
$\text{tanh} (x + k\pi i) = \text{tanh}\ x$ $\text{coth} (x + k\pi i) =\text{coth} x$ Relationship between inverse hyperbolic and inverse trigonometric functions
Introduction to the Hyperbolic Tangent Function - Wolfram
Here is a graphic of the hyperbolic tangent function for real values of its argument . The hyperbolic tangent function can be represented using more general mathematical functions.
Tanh Definition (Illustrated Mathematics Dictionary) - Math is Fun
tanh(x) = (e x − e −x) / (e x + e −x) tanh(x) = sinh(x) / cosh(x) Pronounced "than".
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