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 …

$\cos(ix) = \text{cosh}\ x$ $\tan(ix) = i \text{tanh}\ x$ $\csc(ix) = -i \text{csch}\ x$ $\sec(ix) = \text{sech}\ x$ $\cot(ix) = -i \text{coth}\ x$ $\text{sinh}(ix) = i \sin x$ $\text{cosh}(ix) = \cos x$ …

And are not the same as sin(x) and cos(x), but a little bit similar: sinh vs sin. cosh vs cos. Catenary. One of the interesting uses of Hyperbolic Functions is the curve made by …

一个重要应用是非三角函数的 积分：一个常用技巧是首先使用 使用三角函数的代换规则，则通过三角恒等式可简化结果的积分。 为了避免由于 的不同意思所带来的混淆，我們經常用下列兩 …

函数 cosh x 是关于 y 轴对称的偶函数。 函数 sinh x 是奇函数，就是说 -sinh x = sinh (-x) 且 sinh 0 = 0。 y=sinh x，定义域：R，值域：R，奇函数，函数图像为过原点并且穿越Ⅰ、Ⅲ象限的严格 …

定义双曲正弦函数y=sin hx=1（ex-e-x），双曲余弦函数y=cos hx=1（ex+e-x）．（1）各写出四条双曲正弦函数和双曲余弦函数的性质．（定义域除外）（2）给出双曲正切函数、双曲余切函 …

2019年5月26日 · **正弦函数（sin）**：$$sin⁡(θ)=\dfrac{对边}{斜边}$$- **余弦函数（cos）**：$$cos⁡(θ)=\dfrac{邻边}{斜边}$$- **正切函数（tan）**：$$tan⁡(θ)=\dfrac{对边}{ …

$\cosh x = \cos ix$ $\sinh x = i \sin ix$ which, IMO, conveys intuition that any fact about the circular functions can be translated into an analogous fact about hyperbolic functions. e.g.

In this video we shall define the three hyperbolic functions f(x) = sinh x, f(x) = cosh x and f(x) = tanh x. We shall look at the graphs of these functions, and investigate some of their properties. …

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