An elementary treatise on elliptic functions as trigonometry

This article concerns the examination of trigonometric identities from an elliptic perspective. The treatment functions presented herein adheres to a structure analogous traditional exposition functions, with exception that ellipse replaces unit circle. degree similarity between and their counterparts is moderated by periodicity so-called El- functions. These not only establish values but also correlation ratios major minor axes underlying ellipse. resemblance somewhat modified periodic nature El-identities, whereby each ratio associated axis adopts notation (E) denote distinguish them opposite circular