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  1. Hyperbolic functions - Wikipedia

    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 …

  2. Hyperbolic Functions - Math is Fun

    Hyperbolic Functions 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 …

  3. Hyperbolic Functions - Formulas, Identities, Graphs, and Examples

    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 …

  4. Hyperbolic Sine (sinh) Calculator - Math Tools

    sinh () function This is an online free sinh calculator. You can calculate value of sinh () trignometric function easily using this tool. Important Abbreviations to remember SOH: …

  5. Sinh Calculator | Hyperbolic Sine Function

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

  6. Sinh - (Calculus II) - Vocab, Definition, Explanations | Fiveable

    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 …

  7. Sinh: Hyperbolic sine—Wolfram Documentation

    Sinh is the hyperbolic sine function, which is the hyperbolic analogue of the Sin circular function used throughout trigonometry. It is defined for real numbers by letting be twice the area …

  8. The Ultimate Guide to Sinh in Trigonometry

    May 17, 2025 · Dive into the properties, graphs, and applications of the hyperbolic sine function sinh in trigonometry, complete with step-by-step examples.

  9. Hyperbolic functions | Trigonometric, Inverse, Derivatives

    Sep 13, 2025 · 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 …

  10. 4.11 Hyperbolic Functions - Whitman College

    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 …