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. Also, similarly to how the derivatives of sin (t) and cos (t) are …

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

Nov 25, 2024 · In trigonometry, the coordinates on a unit circle are represented as (cos θ, sin θ), whereas in hyperbolic functions, the pair (cosh θ, sinh θ) represents points on the right half of …

The sinh function has several important properties that are crucial to understand in the context of the calculus of hyperbolic functions. First, the sinh function is an odd function, meaning that …

Sinh (pronounced as “shine”) represents the hyperbolic sine function. While the trigonometric function sine is defined as a circle, sinh is related to measurements from a hyperbola.

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

Nov 3, 2025 · Just as the ordinary sine and cosine functions trace (or parameterize) a circle, so the sinh and cosh parameterize a hyperbola —hence the hyperbolic appellation.

Elementary Functions Sinh [z] (4084 formulas) Primary definition (1 formula) Specific values (167 formulas) General characteristics (9 formulas) Series representations (63 formulas) Integral …

Jul 12, 2025 · Inverse hyperbolic functions are found by taking the inverse of the hyperbolic function, i.e. if y = sinh x then, x = sinh-1 (y) this represents the inverse hyperbolic sin function.

The graphs and properties such as domain, range and asymptotes of the 6 hyperbolic functions: sinh (x), cosh (x), tanh (x), coth (x), sech (x) and csch (x) are presented.