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 …

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5 days ago · Its principal value of is implemented in the Wolfram Language as ArcSinh [z] and in the GNU C library as asinh (double x). The inverse hyperbolic sine is a multivalued function …

Use this inverse hyperbolic sine or arcsinh tool to find the hyperbolic angle when you know the hyperbolic sine.

arsinh x ≡ ln[x + √(x 2 + 1)] 2. Plot. Arc-hyperbolic sine is antisymmetric function defined everywhere on real axis. Its plot is depicted below — fig. 1. Fig. 1. Plot of the arc-hyperbolic …

Nov 4, 2024 · Inverse hyperbolic functions are the inverse functions of the hyperbolic sine, cosine, tangent, and other hyperbolic functions. They are used to solve equations involving hyperbolic …

Feb 3, 2020 · arsinh x = ln (x + x 2 + 1) Here is a proof of the logarithm formula for arsinh. We will use: u = arsinh x. The sinh of u will be x, because sinh is the inverse of arsinh: x = sinh u. One …

Mar 21, 2024 · The Gudermannian function $\theta = gd(x) = arcsin(tanh\ x)$ transforms between the hyperbolic trigonometric functions and the circular ones. For all $x \in \mathbb{R}$ , it …

The inverse sin is written as arcsin(x) as it can be shown to be equivalent to an arc. The inverse sinh is writtean as arsinh(x) as it can be shown to be equivalent to an area.

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, …