document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944798>Question 944798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all solutions of the equation on the interval [0, 2pie). - square root 3 cos x + sin x = -square root 3<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 #576160 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all solutions of the equation on the interval [0, 2pie). - square root 3 cos x + sin x = -square root 3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29cosx%2Bsinx=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29cosx%2Bsinx=-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29cosx%2Bsqrt%283%29=-sinx ALIGN=MIDDLE  ALT=\"sqrt%283%29cosx%2Bsqrt%283%29=-sinx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%28cosx%2B1%29=-sinx ALIGN=MIDDLE  ALT=\"sqrt%283%29%28cosx%2B1%29=-sinx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "square both sides:<BR>\n" );
document.write( "3(cos^2(x)+2cosx+1)=sin^2(x)<BR>\n" );
document.write( "3cos^2(x)+6cosx+3=1-cos^2(x)<BR>\n" );
document.write( "4cos^2(x)+6cosx+2=0<BR>\n" );
document.write( "2cos^2(x)+3cosx+1=0<BR>\n" );
document.write( "(2cosx+1)(cosx+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2cosx+1=0<BR>\n" );
document.write( "cosx=-1/2<BR>\n" );
document.write( "x=2&#960;/3, 4&#960;/3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosx+1=0<BR>\n" );
document.write( "cosx=-1<BR>\n" );
document.write( "x=&#960;\r<BR>\n" );
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