document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436796>Question 436796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the eXACT solutions of the given equation, in radians, that lie in the interval [0, 2&#960;).  <BR>\n" );
document.write( "6 cos3(x) + 6 cos(x) = 0 \r<BR>\n" );
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document.write( "I started it by factoring <BR>\n" );
document.write( "6cos(x)*[cos2(x)+cos(x)]=0 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302189 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=302189\">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=6+cos3%28x%29+%2B+6+cos%28x%29+=+0 ALIGN=MIDDLE  ALT=\"6+cos3%28x%29+%2B+6+cos%28x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==>  cos3x +  cosx = 0\r<BR>\n" );
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document.write( "==> cos2x cosx - sin2x sinx + cosx = 0<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos2x+cosx+-+2%28sinx%29%5E2%2A+cosx++%2B+cosx+=+0 ALIGN=MIDDLE  ALT=\"cos2x+cosx+-+2%28sinx%29%5E2%2A+cosx++%2B+cosx+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%28cos2x+-+2%28sinx%29%5E2++%2B+1%29+=+0 ALIGN=MIDDLE  ALT=\"cosx%28cos2x+-+2%28sinx%29%5E2++%2B+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%281+-+2%28sinx%29%5E2+-+2%28sinx%29%5E2+%2B+1%29+=+0 ALIGN=MIDDLE  ALT=\"cosx%281+-+2%28sinx%29%5E2+-+2%28sinx%29%5E2+%2B+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%282+-+4%28sinx%29%5E2%29+=+0 ALIGN=MIDDLE  ALT=\"cosx%282+-+4%28sinx%29%5E2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx%281-2%28sinx%29%5E2%29+=+0 ALIGN=MIDDLE  ALT=\"cosx%281-2%28sinx%29%5E2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> cosx = 0 ==> x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283pi%29%2F2 ALIGN=MIDDLE  ALT=\"%283pi%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "==> Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sinx%29%5E2+=+1%2F2 ALIGN=MIDDLE  ALT=\"%28sinx%29%5E2+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx+=+sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sinx+=+sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx+=+-sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sinx+=+-sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283pi%29%2F4 ALIGN=MIDDLE  ALT=\"%283pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285pi%29%2F4 ALIGN=MIDDLE  ALT=\"%285pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287pi%29%2F4 ALIGN=MIDDLE  ALT=\"%287pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "==> Solution set is { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283pi%29%2F2 ALIGN=MIDDLE  ALT=\"%283pi%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283pi%29%2F4 ALIGN=MIDDLE  ALT=\"%283pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285pi%29%2F4 ALIGN=MIDDLE  ALT=\"%285pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287pi%29%2F4 ALIGN=MIDDLE  ALT=\"%287pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > }. </SPAN>\n" );
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