Trig Functions For theta = 45 degrees

<BODY LANG="EN" > <HR><center> <table border=1> <td><A HREF="node23.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node21.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node25.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node24.html"><img height=36 width=36 alt="CONTENTS" src="/UCESIcons/tools/toc.gif"></a></td> </table> </center> <HR> <H3>Trig Functions For <IMG WIDTH=50 HEIGHT=12 ALIGN=BOTTOM ALT="theta=45" SRC="img46.gif"></H3> <P> An obvious third example at this point involves calculating <IMG WIDTH=43 HEIGHT=12 ALIGN=BOTTOM ALT="sin 45" SRC="img47.gif">, <IMG WIDTH=44 HEIGHT=11 ALIGN=BOTTOM ALT="cos 45" SRC="img48.gif">, and <IMG WIDTH=47 HEIGHT=11 ALIGN=BOTTOM ALT="tan 45" SRC="img49.gif">. These values can be quickly pulled off the related triangle. <P> <CENTER> <IMG SRC="p6-5.gif" ALT="[45-45-90 triangle]" WIDTH=160 HEIGHT=163><P> </CENTER> From this, we see that <P> <CENTER> <IMG WIDTH=175 HEIGHT=125 ALIGN=BOTTOM ALT="[trig values]" SRC="img50.gif"> </CENTER> <P> Note that these results could also be phrased in radians. They would then read <P> <CENTER> <IMG WIDTH=170 HEIGHT=119 ALIGN=BOTTOM ALT="[trig values]" SRC="img51.gif"> </CENTER> <P> <HR> <center> <table border=1> <td><A HREF="node23.html"><img height=36 width=36 alt="PREVIOUS" src="/UCESIcons/tools/previous.gif"></A></td> <td><A HREF="node21.html"><img height=36 width=36 alt="UP" src="/UCESIcons/tools/up.gif"></A></td> <td><A HREF="node25.html"><img height=36 width=36 alt="NEXT" src="/UCESIcons/tools/next.gif"></A></td> <td><a href="contents-node24.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>