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.

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双曲余弦 ch\ x = \frac {e^ {x} + e^ {-x}} {2} 双曲正切 th\ x = \frac {sh\ x} {ch\ x}=\frac {e^ {x} - e^ {-x}} {e^ {x} + e^ {-x}} sh (x+y)=shxchy + chxshy. sh (x-y) = shxchy - chxshy. ch (x+y) = chxchy + shxshy. ch (x-y) = chxchy - shxshy. ch\ x^ {2}-sh\ x^ {2} =1. sh\ 2x=2shxchx. ch\ 2x=ch\ x^ {2} + sh\ x^ {2} 部分性质推导.

ch x - ch y = 2 sh ½ (x + y) sh ½ (x - y)

To calculate the hyperbolic cosine of a number, just enter the number and apply the ch function. For calculating the hyperbolic cosine of the next number 0, enter ch (0) or directly 0, if the button ch appears already, the result 1 is returned. The derivative of …

2015年6月21日 · ch(x) = cosh(x) = ex +e−x 2 ↔ cos(x) = eix +e−ix 2, ch (x) = cosh (x) = e x + e − x 2 ↔ cos (x) = e i x + e − i x 2,

2023年10月22日 · shx叫做双曲正弦函数,shx= [e^x-e^ (-x)]/2.chx叫做双曲余弦函数chx= [e^x+e^ (-x)]/2.这个很少用的,属于不常考内容。 这两个函数都属于双曲函数。

Find the first-variational curve which corresponds to the functional \int_ {-1}^1 t^2 \dot {x}^2 dt when x (-1) = -1 and x (1) = 1.

2014年12月3日 · 数学中sh x和ch x分别代表什么意思？ 双曲函数: ch x = (e^x + e^ (-x)) / 2，sh x = (e^x - e^ (-x)) / 2 . ch x 是偶函数，sh x 是奇函数，而且 (ch x) ' = sh x， (sh x) '= ch x .

La fonction ch. La fonction cosinus hyperbolique, notée ch, est définie sur par la relation suivante : c h (x) = e x + e − x 2. Cette fonction est bien définie sur puisque la fonction exponentielle l’est également. L’expression doit te rappeler la formule d’Euler, selon laquelle : c o s (x) = e i x + e − i x 2. On a ainsi : c h (i x) = c o s (x)