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 (4) ?

4 days ago · 双曲余弦函数（cosh）是一种常用的数学函数，它将输入值映射到1到无穷大的范围内，具有偶函数的特性，即f (-x) = f (x)。 该函数在物理学、工程学、经济学等领域中有广泛的应用。 双曲余弦函数 是双曲函数的一种，记作 cosh，也可以简写为 ch。 它是由指数函数 e^x 和 e^-x 组成的线性组合。 双曲余弦函数具有许多有趣的性质和应用。 例如，它的导数是双曲正弦函数 sinh (x)，并且它在区间 (-∞, 0] 内是单调减少的，在区间 [0, ∞) 内是单调增加的。 双曲余弦函数的 …

Omni's cosh calculator will help you quickly compute the values of the hyperbolic cosine function as well as discover its most important properties. In the short article below, we discuss the following topics: What cosh x is and why is it called hyperbolic? Can you meet cosh in real life? (Spoiler: yes) What does the plot of cosh look like?

双曲余弦函数记作cosh，也可简写为ch。 从原点发出的射线与单位双曲线（方程：）相交于点（cosh a,sinh a)。 这里的a为射线、双曲线和x轴围成的面积的两倍。 对于双曲线上位于x轴下方的点，这个面积被认为是负值。 其中，cosh a就是a的双曲余弦函数。 经过复杂的计算可以推出： 。 双曲余弦函数的定义域为 。 [1] 值域为 [1, )。 当x=0时，取到最小值1。 双曲余弦函数在定义域内是偶函数。 [1] 可以证明。 取x的负值。 又得： 根据加法交换律，可得出 。 根据偶函数的定 …

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$\text{cosh}^4 x = \frac{3}{8} + \frac12 \text{cosh}\ 2x + \frac18 \text{cosh}\ 4x$ Sum, difference and product $\text{sinh}\ x + \text{sinh}\ y = 2 \text{sinh}\ \frac12(x + y)\ \text{cosh}\ \frac12(x - y)$

cosh 4. Math Input. Natural Language; Math Input; Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Wolfram|Alpha brings expert-level knowledge and ...

Apr 20, 2016 · What is the solution of $\sin z=\cosh 4$? By putting $z=x+iy$ I managed to find that the real part of $z$ is $x= \frac \pi 2+2n\pi $, but the imaginary part is contradictory giving negative value of $\cosh x$. The answer is given to be $\frac \pi 2+2n\pi \pm \cosh 4$.

cosh(4): Free Hyperbolic Function Calculator - Calculates hyperbolic function values: sinh, cosh, tanh, csch, sech, coth