document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140881>Question 1140881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that:<BR>\n" );
document.write( "2 sin^2(45-A)=1-sin2A </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761401 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=761401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%5E2%2845-A%29=1-sin%282A+%29 ALIGN=MIDDLE  ALT=\"2sin%5E2%2845-A%29=1-sin%282A+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Manipulating left side:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%5E2%2845-A%29 ALIGN=MIDDLE  ALT=\"2sin%5E2%2845-A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2845-A%29=+%28sqrt%282%29%2F2%29cos%28A%29-%28sqrt%282%29%2F2%29sin%28A%29 ALIGN=MIDDLE  ALT=\"sin%2845-A%29=+%28sqrt%282%29%2F2%29cos%28A%29-%28sqrt%282%29%2F2%29sin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28%28sqrt%282%29%2F2%29cos%28A%29-%28sqrt%282%29%2F2%29sin%28A%29%29%5E2 ALIGN=MIDDLE  ALT=\"2%28%28sqrt%282%29%2F2%29cos%28A%29-%28sqrt%282%29%2F2%29sin%28A%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify, factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%5E2=1%2F4 ALIGN=MIDDLE  ALT=\"%281%2F2%29%5E2=1%2F4\"   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=2%281%2F4%29%28sqrt%282%29cos%28A%29-sqrt%282%29sin%28A%29%29%5E2 ALIGN=MIDDLE  ALT=\"2%281%2F4%29%28sqrt%282%29cos%28A%29-sqrt%282%29sin%28A%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify, factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%29%5E2=2 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%29%5E2=2\"   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=cross%282%29%281%2Fcross%284%292%29%282%28cos%28A%29-sin%28A%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"cross%282%29%281%2Fcross%284%292%29%282%28cos%28A%29-sin%28A%29%29%5E2%29\"   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=%281%2Fcross%282%29%29%28cross%282%29%28cos%28A%29-sin%28A%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2Fcross%282%29%29%28cross%282%29%28cos%28A%29-sin%28A%29%29%5E2%29\"   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=%28cos%28A%29-sin%28A%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28cos%28A%29-sin%28A%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......expand\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28A%29-2sin%28A%29cos%28A%29%2Bsin%5E2%28A%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28A%29-2sin%28A%29cos%28A%29%2Bsin%5E2%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28A%29%29%2Bcos%5E2%28A%29=1 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29%29%2Bcos%5E2%28A%29=1\"   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=1-2sin%28A%29cos%28A%29 ALIGN=MIDDLE  ALT=\"1-2sin%28A%29cos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28A%29cos%28A%29+=sin%282A+%29 ALIGN=MIDDLE  ALT=\"2sin%28A%29cos%28A%29+=sin%282A+%29\"   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=1-sin%282A+%29 ALIGN=MIDDLE  ALT=\"1-sin%282A+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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