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 …

The two basic hyperbolic functions are sinh and cosh: sinh (x) = ex - e-x2. (pronounced shine or sinch). cosh (x) = ex + e-x2.

Sinh Elementary Functions Sinh [z] Introduction to the Hyperbolic Sine Function Defining the hyperbolic sine function The hyperbolic sine function is an old mathematical function. It was …

Since cosh x> 0, sinh x is increasing and hence injective, so sinh x has an inverse, \arcsinh x. Also, sinh x> 0 when x> 0, so cosh x is injective on [0, ∞) and has a (partial) inverse, \arccosh …

These functions are most conveniently defined in terms of the exponential function, with sinh z = 1/2 (ez − e−z) and cosh z = 1/2 (ez + e−z) and with the other hyperbolic trigonometric …

This sinh calculator allows you to quickly determine the values of the hyperbolic sine function.

The sinh function is defined in terms of the exponential function, as $\sinh (x) = \frac {e^x - e^ {-x}} {2}$. This relationship shows that the sinh function can be expressed as the difference …

Definition: sinh = sinh is pronounced sinch Domain: (−∞, ∞) Range: (−∞, ∞)

May 17, 2025 · Explore the fundamental principles, computations, and real-world use cases for the hyperbolic sine sinh in science and engineering contexts.

Illustrated definition of Sinh: The hyperbolic sine function sinh (x) = (ex minus; eminus;x) /...