雙曲函數

與三角函數類似的函數

AI overview

Hyperbolic functions are mathematical tools that work similarly to the trigonometric functions you might know from geometry, but they apply to hyperbolas instead of circles. They're useful in engineering and physics for describing things like the shape of hanging cables and the behavior of certain physical systems.

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Described at

6.4 Hyperbolic functions | Functions | Siyavula

Siyavula's open Mathematics Grade 10 textbook, chapter 6 on Functions covering 6.4 Hyperbolic functions

siyavula.com →

We use this information to present the correct curriculum and to personalise content to better meet the needs of our users. Functions of the general form (y= dfrac{a}{x}+q ) are called hyperbolic functions.

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Image: Mplwp hyperbolic functions.svg

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Stack Exchange tag: math.stackexchange.com/tags/hyperbolic-functions
described at URL: www.siyavula.com/read/za/mathematics/grade-10/functions/06-functions-03
Commons category: Hyperbolic functions

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Article · 中文

在数学中，双曲函数是一类与常见的三角函数（也叫圆函数）类似的函数。最基本的双曲函数是雙曲正弦函数和雙曲餘弦函数，从它们可以导出双曲正切函数等，其推导也类似于三角函数的推导。双曲函数的反函数称为反双曲函数。双曲函数的定义域是实数，其自变量的值叫做双曲角。双曲函数出现于某些重要的线性微分方程的解中，譬如說定义悬链线和拉普拉斯方程。

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