Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular functions. The basic hyperbolic functions are the hyperbolic sine "sinh" (/ˈsɪntʃ/ or /ˈʃaɪn/), and the hyperbolic cosine "cosh" (/ˈkɒʃ/), from which are derived the hyperbolic tangent "tanh" (/ˈtæntʃ/ or /ˈθæn/), hyperbolic cosecant "csch" or "cosech" (/ˈkoʊʃɛk/ or /ˈkoʊsɛtʃ/), hyperbolic secant "sech" (/ˈʃɛk/ or /ˈsɛtʃ/), and hyperbolic cotangent "coth" (/ˈkoʊθ/ or /ˈkɒθ/), corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" (also called "asinh" or sometimes "arcsinh") and so on.