sinh(x) and cosh(x) are also the unique solution of the equation f ″(x) = f (x), such that f (0) = 1, f ′(0) = 0 for the hyperbolic cosine, and f (0) = 0, f ′(0) = 1 for the hyperbolic sine.

$\text{sinh}\ x\ \text{cosh}\ y = \frac12(\text{sinh}(x + y) + \text{sinh} (x - y))$ Expression of hyperbolic functions in terms of others In the following we assume x > 0.

The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh(x) = e x − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh(x) = e x + e-x 2 (pronounced "cosh") They use …

sinh(x) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of …

sinh ⁡ x = 1 2 (e ⁡ x − e ⁡ − x) \sinh x=\dfrac 1 2 (\e^x-\e^{\uminus x}) sinh x = 2 1 ...

2014年12月16日 · One definition of the hyperbolic sine is $$ \sinh(x) = \frac{e^x - e^{-x}}{2}. $$ The function comes into play in partial differential equations which are used in many real world …

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

• understand the meaning of the inverse functions sinh−1 x, cosh−1 x and tanh−1 x and spec- ify their domains, • define the reprocal functions sechx, cschx and cothx.

Expression 1: hyperbolic sine left parenthesis, "x" , right parenthesis. sinh x. 1

Omni's hyperbolic sine calculator is very straightforward to use: just enter the argument x, and the value of sinh(x) will appear immediately! And you can calculate inverse sinh as well! Just fill in …