Journal of Education and Human Development

Teaching and Learning Hyperbolic Functions (III); „Integral” Properties And Relations Between Their Inverse
Teodor Dumitru Vălcan

Abstract
In two recent papers with the same generic name as this one and numbered with (I), respectively (II), I presented the definitions, the consequences immediate resulting from these and a series of 92 properties of hyperbolic functions, properties that we divided into seven groups, as follows: A) "Trigonometric" properties - nine properties; B) The derivatives of hyperbolic functions - six properties; C) The primitives (indefinite integrals) of hyperbolic functions - six properties; D) The monotony and the invertibility of hyperbolic functions - 17 properties; E) Other properties "trigonometric" - 42 properties; F) Immediate properties of the inverse of hyperbolic functions - six properties and G) The derivatives of the inverse of hyperbolic functions - six properties. In this paper we will continue this approach and will present and prove another 36 properties of these functions, properties that we will divide into three groups, as follows: H) Properties „integral” and rewithrrence formulas - 11 properties; I) Relations between the inverse of hyperbolic functions - five properties and K) Relations between the hyperbolic functions and the inverses of other hyperbolic functions - 20 properties.

Full Text: PDF     DOI: 10.15640/jehd.v9n1a14