View source for Tangent amplitude

The ratio of the two basic [[Jacobi elliptic functions|Jacobi elliptic functions]]:

$$\operatorname{sc}u=\tan\operatorname{am}u=\frac{\operatorname{sn}u}{\operatorname{cn}u}.$$



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====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  A. Hurwitz,   R. Courant,   "Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen" , '''1''' , Springer  (1964)</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top">  E.T. Whittaker,   G.N. Watson,   "A course of modern analysis" , Cambridge Univ. Press  (1952)  pp. Chapt. 6</TD></TR><TR><TD valign="top">[a3]</TD> <TD valign="top">  J. Tannéry,   J. Molk,   "Eléments de la théorie des fonctions elliptiques" , '''1–2''' , Chelsea, reprint  (1972)</TD></TR></table>