document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086857>Question 1086857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite \"sin 3x\" with only sin x and cos x. \r<BR>\n" );
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document.write( " 2 sin x cos^2x + cos x<BR>\n" );
document.write( " 2 sin x cos^2x + sin^3x<BR>\n" );
document.write( " sin x cos^2x - sin^3x + cos^3x<BR>\n" );
document.write( " 2 cos^2x sin x + sin x - 2 sin^3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701097 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=701097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%283x%29 ALIGN=MIDDLE  ALT=\"sin%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2B2x%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use the formula and expand:\r<BR>\n" );
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document.write( "<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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2B2x%29=sin%28x%29cos%282x%29%2Bcos%28x%29sin%282x%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29=sin%28x%29cos%282x%29%2Bcos%28x%29sin%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282x%29=cos%5E2%28x%29+-+sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%282x%29=cos%5E2%28x%29+-+sin%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282x%29=2sin%28x%29cos%28x%29 ALIGN=MIDDLE  ALT=\"sin%282x%29=2sin%28x%29cos%28x%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=sin%28x%2B2x%29=sin%28x%29%28cos%5E2%28x%29+-+sin%5E2%28x%29%29%2Bcos%28x%29%282sin%28x%29cos%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >......since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29=1-cos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29=1-cos%5E2%28x%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=sin%28x%2B2x%29=sin%28x%29%28cos%5E2%28x%29+-+%281-cos%5E2%28x%29%29%29%2B2sin%28x%29cos%5E2%28x%29 ALIGN=MIDDLE   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%28x%2B2x%29=sin%28x%29%28cos%5E2%28x%29+-+1%2Bcos%5E2%28x%29%29%2B2sin%28x%29cos%5E2%28x%29 ALIGN=MIDDLE   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%28x%2B2x%29=sin%28x%29%282cos%5E2%28x%29+-+1%29%2B2+sin%28x%29+cos%5E2%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29=sin%28x%29%282cos%5E2%28x%29+-+1%29%2B2+sin%28x%29+cos%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28x%29=1-sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos%5E2%28x%29=1-sin%5E2%28x%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=sin%28x%2B2x%29=2sin%28x%29cos%5E2%28x%29+-+sin%28x%29%2B2+sin%28x%29%281-+sin%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29=2sin%28x%29cos%5E2%28x%29+-+sin%28x%29%2B2+sin%28x%29%281-+sin%5E2%28x%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%28x%2B2x%29=2sin%28x%29cos%5E2%28x%29+-+sin%28x%29%2B2+sin%28x%29-+sin%5E3%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29=2sin%28x%29cos%5E2%28x%29+-+sin%28x%29%2B2+sin%28x%29-+sin%5E3%28x%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%28x%2B2x%29=2cos%5E2%28x%29sin%28x%29%2B+sin%28x%29+-+2sin%5E3%28x%29 ALIGN=MIDDLE  ALT=\"sin%28x%2B2x%29=2cos%5E2%28x%29sin%28x%29%2B+sin%28x%29+-+2sin%5E3%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%283x%29=2cos%5E2%28x%29sin%28x%29%2B+sin%28x%29+-+2sin%5E3%28x%29 ALIGN=MIDDLE  ALT=\"sin%283x%29=2cos%5E2%28x%29sin%28x%29%2B+sin%28x%29+-+2sin%5E3%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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