document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190623>Question 190623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me on the following question:<BR>\n" );
document.write( "Find the exact value of sin(-10&#960;/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143094 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=143094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the unit circle for reference:\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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-10pi%2F3%29 ALIGN=MIDDLE  ALT=\"sin%28-10pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%2810pi%2F3%29 ALIGN=MIDDLE  ALT=\"-sin%2810pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <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;\" >\r<BR>\n" );
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document.write( "Take note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10pi%2F3=2pi%2B4pi%2F3 ALIGN=MIDDLE  ALT=\"10pi%2F3=2pi%2B4pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%282pi%2B4pi%2F3%29 ALIGN=MIDDLE  ALT=\"-sin%282pi%2B4pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10pi%2F3 ALIGN=MIDDLE  ALT=\"10pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2B4pi%2F3 ALIGN=MIDDLE  ALT=\"2pi%2B4pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sin%282pi%29cos%284pi%2F3%29%2Bcos%282pi%29sin%284pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%28sin%282pi%29cos%284pi%2F3%29%2Bcos%282pi%29sin%284pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29 ALIGN=MIDDLE  ALT=\"sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%280%29cos%284pi%2F3%29%2B%281%29sin%284pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%28%280%29cos%284pi%2F3%29%2B%281%29sin%284pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 0. Take the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 1 (use the unit circle).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%280%2Bsin%284pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%280%2Bsin%284pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%284pi%2F3%29 ALIGN=MIDDLE  ALT=\"-sin%284pi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Take note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2F3=pi%2Bpi%2F3 ALIGN=MIDDLE  ALT=\"4pi%2F3=pi%2Bpi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%28pi%2Bpi%2F3%29 ALIGN=MIDDLE  ALT=\"-sin%28pi%2Bpi%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2F3 ALIGN=MIDDLE  ALT=\"4pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Bpi%2F3 ALIGN=MIDDLE  ALT=\"pi%2Bpi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sin%28pi%29cos%28pi%2F3%29%2Bcos%28pi%29sin%28pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%28sin%28pi%29cos%28pi%2F3%29%2Bcos%28pi%29sin%28pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29 ALIGN=MIDDLE  ALT=\"sin%28x%2By%29=sin%28x%29cos%28y%29%2Bcos%28x%29sin%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%280%29cos%28pi%2F3%29%2B%28-1%29sin%28pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%28%280%29cos%28pi%2F3%29%2B%28-1%29sin%28pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 0. Take the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get -1 (use the unit circle).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%280-sin%28pi%2F3%29%29 ALIGN=MIDDLE  ALT=\"-%280-sin%28pi%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<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;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the sine of <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;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle).\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-10pi%2F3%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28-10pi%2F3%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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