document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190622>Question 190622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help on the following problem:<BR>\n" );
document.write( "Find the exact value of sin (-&#960;/3)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143093 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: since sine is an odd function, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-x%29=-sin%28x%29 ALIGN=MIDDLE  ALT=\"sin%28-x%29=-sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-pi%2F3%29=-sin%28pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin%28-pi%2F3%29=-sin%28pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In order to evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%28pi%2F3%29 ALIGN=MIDDLE  ALT=\"-sin%28pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, just evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin%28pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and negate it.\r<BR>\n" );
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document.write( "Looking at the unit circle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://www.math.ucsd.edu/%7Ejarmel/math4c/Unit_Circle_Angles.png\">\r<BR>\n" );
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document.write( "We see that at the theta value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F3 ALIGN=MIDDLE  ALT=\"pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the y-coordinate of the point on the unit circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"y=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So this simply means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F3%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28pi%2F3%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now negate to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%28pi%2F3%29=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"-sin%28pi%2F3%29=-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-pi%2F3%29=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28-pi%2F3%29=-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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