What is the value of sinh (1) ?

\displaystyle =\frac {\text {sinh} (x)} {1 + \text {cosh} (x)} = \frac {\text {cosh} (x) - 1} {\text {sinh} (x)} = 1+cosh(x)sinh(x) = sinh(x)cosh(x) −1 Multiple angle formulas

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.

The hyperbolic sine function, \sinh x, is one-to-one, and therefore has a well-defined inverse, \sinh^ {-1} x, shown in blue in the figure. In order to invert the hyperbolic cosine function, however, we need (as with square root) to restrict its domain.

In mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common use: inverse hyperbolic sine, inverse hyperbolic cosine, inverse hyperbolic tangent, inverse hyperbolic cosecant, inverse hyperbolic secant, and inverse hyperbolic cotangent.

csch (x) = 1/sinh (x) = 2/ ( e x - e -x ) cosh (x) = ( e x + e -x )/2 sech (x) = 1/cosh (x) = 2/ ( e x + e -x ) tanh (x) = sinh (x)/cosh (x) = ( e x - e -x )/ ( e x + e -x )

Hyperbolic Functions The two basic hyperbolic functions are "sinh" and "cosh": Hyperbolic Sine: sinh (x) = ex − e-x 2 (pronounced "shine") Hyperbolic Cosine: cosh (x) = ex + e-x 2 (pronounced "cosh") They use the natural exponential function ex And are not the same as sin (x) and cos (x), but a little bit similar: sinh vs sin cosh vs cos Catenary

This is an online free sinh calculator. You can calculate value of sinh () trignometric function easily using this tool. Important Abbreviations to remember SOH: Opposite / Hypotenuse (Sine) CAH: Adjacent / Hypotenuse (Cosine) TOA: Opposite / Adjacent (Tangent)

sinh (1): Free Hyperbolic Function Calculator - Calculates hyperbolic function values: sinh, cosh, tanh, csch, sech, coth

2025年4月3日 · The inverse hyperbolic sine sinh^ (-1)z (Beyer 1987, p. 181; Zwillinger 1995, p. 481), sometimes called the area hyperbolic sine (Harris and Stocker 1998, p. 264) is the multivalued function that is the inverse function of the hyperbolic sine.