S3E34. Hyperbolic functions defined by a direct analogy with circular functions

In this episode we fill in the gaps in most students' knowledge of where do hyperbolic functions actually come from and how are they born. How, where and why are the circular function connected to their hyperbolic brethren? The answer lies in a very light abstraction of the origin-centered unit circle into "a generating curve" and a consequent substitution into such a generating curve the origin-centered unit hyperbola. This episode as the final part of the nano, 2-episode, series dedicated to answering the above question. For best results we recommend our viewers to watch, and work their way through, the Season 3 Episode 32.