The Generalization

<BODY LANG="EN" > <HR><center> <table border=1> <td><A HREF="node29.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node27.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node31.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node30.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR> <H2>The Generalization</H2> <P> We are now in a position to define the trig function of any angle, acute or otherwise! It is so important that we enclose it in a box:<P> <center> <IMG WIDTH=492 HEIGHT=106 ALIGN=BOTTOM ALT="[ref angle method]" SRC="img72.gif"> </center> <P> As noted in the examples above with the angles that lie on the axes, one or both of the legs of the right triangle will be viewed as ``negative'' if one or both of the coordinates (<I>x</I>,<I>y</I>) of the point in question are negative. <P> <HR><center> <table border=1> <td><A HREF="node29.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node27.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node31.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node30.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR><P><ADDRESS> <I><A HREF="http://www.math.psu.edu/sellersj/">James A. Sellers</A> </I> </ADDRESS> </BODY>