基本定义 sinh 、 cosh 和 tanh csch 、 sech 和 coth 最簡單的幾種雙曲函數為 [1]： 雙曲正弦： sinh ⁡ x = e x − e − x 2 {\displaystyle \sinh x= {\frac {e^ {x}-e^ {-x}} {2}}} 雙曲餘弦： cosh ⁡ x = e x + e − x 2 …

双曲正弦函数在数学语言上一般记作sinh，也可简写成sh。 与三角函数一样，双曲函数也分为双曲正弦、双曲余弦、双曲正切、双曲余切、双曲正割、双曲余割6种，双曲正弦函数和双曲余弦函数是双曲函 …

解释一下就是： 我们先得到一个三角恒等式，然后把里面的sin或者cos全部转为sinh或cosh，如果在公式中出现两个sin相乘，那么把前面的符号改成负号。

这是最常见的三个双曲函数： sinh 、 cosh 和 tanh （就是双曲正弦、双曲余弦和双曲正切） sinh x = ex − e−x 2 cosh x = ex + e−x 2 tanh x = sinh x cosh x = ex − e−x ex + e−x 导数 这些函数的 导数 是： d …

The two basic hyperbolic functions are sinh and cosh: sinh (x) = ex - e-x2. (pronounced shine or sinch). cosh (x) = ex + e-x2.

探索三角学中的双曲正弦 （sinh）的概念，包括其公式、应用和实际例子。

Sinh is the hyperbolic sine function, which is the hyperbolic analogue of the Sin circular function used throughout trigonometry. It is defined for real numbers by letting be twice the area between the axis …

The sinh function is defined in terms of the exponential function, as $\sinh (x) = \frac {e^x - e^ {-x}} {2}$. This relationship shows that the sinh function can be expressed as the difference between two …

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. Also, similarly to how the derivatives of sin (t) and cos (t) are cos (t) and –sin (t) …

最基本的双曲函数是双曲正弦函数sinh和双曲余弦函数cosh，从它们可以导出双曲正切函数tanh等，其推导也类似于三角函数的推导。