The q-Analog of the Sine function, as advocated by R. W. Gosper, is defined by
is a Theta Function and is defined via
This is a period , Odd Function of unit amplitude with double and triple angle formulas and addition formulas which
are analogous to ordinary Sine and Cosine. For example,
where is the q-Cosine, and is q-Pi.
See also q-Cosine, q-Factorial
Gosper, R. W. ``Experiments and Discoveries in -Trigonometry.'' Unpublished manuscript.
© 1996-9 Eric W. Weisstein