Inverse Hyperbolic Functions Calculator

This calculator helps compute inverse hyperbolic functions such as sinh-1, cosh-1, and tanh-1. It is designed for students, teachers, and professionals dealing with trigonometry and calculus.

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Data Source and Methodology

All calculations are based on the standard mathematical formulas for inverse hyperbolic functions. For detailed information, refer to Wikipedia.

The Formula Explained

Inverse Hyperbolic Sine: \( \sinh^{-1}(x) = \ln(x + \sqrt{x^2 + 1}) \)

Inverse Hyperbolic Cosine: \( \cosh^{-1}(x) = \ln(x + \sqrt{x^2 - 1}) \)

Inverse Hyperbolic Tangent: \( \tanh^{-1}(x) = \frac{1}{2}\ln\left(\frac{1+x}{1-x}\right) \)

Glossary of Terms

FAQ

What are inverse hyperbolic functions?

Inverse hyperbolic functions are the inverse functions of the hyperbolic functions. They are used to solve equations involving hyperbolic functions.

How are these functions used?

These functions are used in various branches of mathematics, including calculus and complex analysis, to solve equations involving hyperbolic functions.

Tool developed by Ugo Candido. Content reviewed by the MathDomain Expert Team. Last reviewed for accuracy on: October 10, 2023.
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