document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126750>Question 1126750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of cos(2&#945;) , if  sin(3&#945;) =2 sin(&#945;)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743079 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=743079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " What is the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282alpha%29 ALIGN=MIDDLE  ALT=\"cos%282alpha%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , if \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%283alpha%29+=2+sin%28alpha%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=2+sin%28alpha%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? \r<BR>\n" );
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document.write( "use the following identity: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%283alpha%29+=+3+sin%28alpha%29+cos%5E2%28alpha%29+-+sin%5E3%28alpha%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=+3+sin%28alpha%29+cos%5E2%28alpha%29+-+sin%5E3%28alpha%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "factor it: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+sin%5E2%28alpha%29%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+sin%5E2%28alpha%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28alpha%29=1-cos%5E2%28alpha%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28alpha%29=1-cos%5E2%28alpha%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=sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+%281-cos%5E2%28alpha%29%29+%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+%281-cos%5E2%28alpha%29%29+%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=sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+1%2Bcos%5E2%28alpha%29%29+%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=sin%28alpha%29%28+3+cos%5E2%28alpha%29+-+1%2Bcos%5E2%28alpha%29%29+%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=sin%283alpha%29+=sin%28alpha%29%28+4cos%5E2%28alpha%29+-+1+%29 ALIGN=MIDDLE  ALT=\"sin%283alpha%29+=sin%28alpha%29%28+4cos%5E2%28alpha%29+-+1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28alpha%29%28+4cos%5E2%28alpha%29+-+1+%29=2sin%28alpha%29 ALIGN=MIDDLE  ALT=\"sin%28alpha%29%28+4cos%5E2%28alpha%29+-+1+%29=2sin%28alpha%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=cross%28sin%28alpha%29%29%28+4cos%5E2%28alpha%29+-+1+%29=2cross%28sin%28alpha%29%29 ALIGN=MIDDLE  ALT=\"cross%28sin%28alpha%29%29%28+4cos%5E2%28alpha%29+-+1+%29=2cross%28sin%28alpha%29%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=4cos%5E2%28alpha%29+-+1+%29=2 ALIGN=MIDDLE  ALT=\"4cos%5E2%28alpha%29+-+1+%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify, divide by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2 ALIGN=MIDDLE  ALT=\"+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=2cos%282+alpha%29+-+1=1 ALIGN=MIDDLE  ALT=\"2cos%282+alpha%29+-+1=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=2cos%282alpha%29+=2 ALIGN=MIDDLE  ALT=\"2cos%282alpha%29+=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=+cos%282alpha%29+=1 ALIGN=MIDDLE  ALT=\"+cos%282alpha%29+=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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