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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/sinCosEx.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input sinCosEx.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1991.
+@
+<<*>>=
+<<license>>
+
+sinCosExpand := rule
+ sin(-x) == - sin(x)
+ cos(-x) == cos(x)
+ sin(x + y) == sin(x) * cos(y) + sin(y) * cos(x)
+ cos(x + y) == cos(x) * cos(y) - sin(x) * sin(y)
+ sin((n | integer? n and n > 1) * x) ==_
+ sin(x) * cos((n-1)*x) + sin((n-1)*x) * cos(x)
+ cos((n | integer? n and n > 1) * x) ==_
+ cos(x) * cos((n-1)*x) - sin(x) * sin((n-1)*x)
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}