document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014707>Question 1014707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A+B+C=&#960; then establish the given relation<BR>\n" );
document.write( "(sin2A+sin2B+sin2C)/(4cosA/2 cosB/2 cosC/2)=8 sinA/2.sinB/2.sinC/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631219 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Prove first that\r<BR>\n" );
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document.write( "sin2A + sin2B + sin2C = 4sinA*sinB*sinC.  \r<BR>\n" );
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document.write( "sin2A + sin2B + sin2C<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin2A+%2B+sin2B+%2B+sin%282%2Api-2%28A%2BB%29%29 ALIGN=MIDDLE  ALT=\"sin2A+%2B+sin2B+%2B+sin%282%2Api-2%28A%2BB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin2A+%2B+sin2B+-+sin2%28A%2BB%29 ALIGN=MIDDLE  ALT=\"sin2A+%2B+sin2B+-+sin2%28A%2BB%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin2A+%2B+sin2B+-+sin%282A%2B2B%29 ALIGN=MIDDLE  ALT=\"sin2A+%2B+sin2B+-+sin%282A%2B2B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin2A+%2B+sin2B+-+sin2A%2Acos2B+-+cos2A%2Asin2B ALIGN=MIDDLE  ALT=\"sin2A+%2B+sin2B+-+sin2A%2Acos2B+-+cos2A%2Asin2B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= sin2A(1 - cos2B) + sin2B(1 - cos2A)<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin2A%2A%28sinB%29%5E2+%2B+2sin2B%2A%28sinA%29%5E2 ALIGN=MIDDLE  ALT=\"2sin2A%2A%28sinB%29%5E2+%2B+2sin2B%2A%28sinA%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sinA%2AcosB%2A%28sinB%29%5E2+%2B+4sinB%2AcosB%2A%28sinA%29%5E2 ALIGN=MIDDLE  ALT=\"4sinA%2AcosB%2A%28sinB%29%5E2+%2B+4sinB%2AcosB%2A%28sinA%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=4sinAsinB(cosAsinB+sinAcosB)<BR>\n" );
document.write( "=4sinAsinBsin(A+B)<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sinAsinBsin%28pi-C%29 ALIGN=MIDDLE  ALT=\"4sinAsinBsin%28pi-C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=4sinAsinBsinC\r<BR>\n" );
document.write( "\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284sinA%2AsinB%2AsinC%29%2F%284cos%28A%2F2%29%2Acos%28B%2F2%29%2Acos%28C%2F2%29%29 ALIGN=MIDDLE  ALT=\"%284sinA%2AsinB%2AsinC%29%2F%284cos%28A%2F2%29%2Acos%28B%2F2%29%2Acos%28C%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832sin%28A%2F2%29cos%28A%2F2%29sin%28B%2F2%29cos%28B%2F2%29sin%28C%2F2%29cos%28C%2F2%29%29%2F%284cos%28A%2F2%29%2Acos%28B%2F2%29%2Acos%28C%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the main result follows. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );