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.

What is the value of cosh (pi) ?

$\text{cosh} (x + 2k \pi i) = \text{cosh}\ x$ $\text{sech} (x + 2k\pi i) = \text{sech} x$ $\text{tanh} (x + k\pi i) = \text{tanh}\ x$ $\text{coth} (x + k\pi i) =\text{coth} x$ Relationship between inverse hyperbolic and inverse trigonometric functions

雙曲餘弦一般以cosh表示 [1] ，在部分較舊的文獻中有時會以 表示。 [2] 雙曲餘弦可以用來描述悬链线，即兩端固定自然下垂的繩索，因此可以用於進行悬索桥的工程計算。

COSH (x) returns the hyperbolic cosine of the angle x. The argument x must be expressed in radians. To convert degrees to radians you use the RADIANS function. The argument x can be a real number, a complex number, or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the COSH function applied to all ...

A = cosh([-2, -pi*i, pi*i/6, 5*pi*i/7, 3*pi*i/2]) A = 3.7622 -1.0000 0.8660 -0.6235 -0.0000. Compute the hyperbolic cosine function for the numbers converted to symbolic objects. For many symbolic (exact) numbers, cosh returns unresolved symbolic calls. symA = cosh(sym([-2, -pi*i, pi*i/6, 5*pi*i/7, 3*pi*i/2])) ...

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$\cosh(x)$ is usually defined defined as $\frac{e^{x} + e^{-x}}{2}$. If you haven't some different definition, then it is quite straightforward: $$\cosh\left(\frac{\pi}{2}\right)=\frac{e^{\frac{\pi}{2}} + e^{-\frac{\pi}{2}}}{2} = \frac{1}{2}e^{-\frac{\pi}{2}}(1 + e^x)$$

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2023年9月21日 · a = cosh (pi) print a ' Output: 11.59195327552152 b = acosh (a) print b ' Output: 3.14159265358979