document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927958>Question 927958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation  2 cos 3x = 1 in the interval [0,pi), with x1<x2<x3.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563357 by </B><A HREF=/tutors/aboutme.mpl?userid=brysca><B>brysca(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brysca><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=brysca><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solution posted below<BR>\n" );
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document.write( "hope this helps!\r<BR>\n" );
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document.write( "Response to comment:<BR>\n" );
document.write( "Since they're asking for a third answer ask again, when does cos(z)=1/2?<BR>\n" );
document.write( "cos(z) would equal 1/2 when z equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7pi%2F3 ALIGN=MIDDLE  ALT=\"7pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug into the equation: 3x=z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=7pi%2F3 ALIGN=MIDDLE  ALT=\"3x=7pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=7pi%2F9 ALIGN=MIDDLE  ALT=\"x=7pi%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the equation's domain is up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is why they ask for the third solution. The next solution for x would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11pi%2F9 ALIGN=MIDDLE  ALT=\"11pi%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > but this is wrong since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11pi%2F9 ALIGN=MIDDLE  ALT=\"11pi%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11pi%2F9 ALIGN=MIDDLE  ALT=\"11pi%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > exceeds the domain restrictions. </SPAN>\n" );
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