document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335400>Question 335400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me find the solution to this?\r<BR>\n" );
document.write( "\n" );
document.write( "Find all values of x such that sin 2x = sin x and x is less than or equal to 2 pi and x is greater than or equal to 0.\r<BR>\n" );
document.write( "\n" );
document.write( "I tried using a sin wave but that only gave me 3 of the 5 answers, 0, pi, and 2 pi. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240589 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the trig identity,<BR>\n" );
document.write( "<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;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%282x%29=sin%28x%29 ALIGN=MIDDLE  ALT=\"sin%282x%29=sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28x%29cos%28x%29=sin%28x%29 ALIGN=MIDDLE  ALT=\"2sin%28x%29cos%28x%29=sin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%28x%29cos%28x%29-sin%28x%29=0 ALIGN=MIDDLE  ALT=\"2sin%28x%29cos%28x%29-sin%28x%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=sin%28x%29%282cos%28x%29-1%29=0 ALIGN=MIDDLE  ALT=\"sin%28x%29%282cos%28x%29-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%29=0 ALIGN=MIDDLE  ALT=\"sin%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Those solutions you already have.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%28x%29-1=0 ALIGN=MIDDLE  ALT=\"2cos%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%28x%29=1 ALIGN=MIDDLE  ALT=\"2cos%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%28x%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for the remaining two solutions.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C7%2C-2%2C2%2C%0D%0Acircle%280%2C0%2C.2%29%2C%0D%0Acircle%28pi%2C0%2C.2%29%2C%0D%0Acircle%282%2Api%2C0%2C.2%29%2C%0D%0Acircle%281.047%2C0.866%2C.2%29%2C%0D%0Acircle%285.236%2C-0.866%2C.2%29%2C%0D%0Agraph%28300%2C300%2C-1%2C7%2C-2%2C2%2Csin%282x%29%2Csin%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );