document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830491>Question 830491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all positive vales of theta less than 360degrees that satisfy the equation costheta=2+3cos2theta. Express your answers to the nearest ten minutes or nearest tenth of a degree. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500664 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=500664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all positive vales of theta less than 360degrees that satisfy the equation costheta=2+3cos2theta. Express your answers to the nearest ten minutes or nearest tenth of a degree.<BR>\n" );
document.write( "***<BR>\n" );
document.write( "(0<theta<360)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=2%2B3cos%282theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=2%2B3cos%282theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=2%2B3%282cos%5E2%28theta%29-1%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=2%2B3%282cos%5E2%28theta%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=2%2B6cos%5E2%28theta%29-3%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=2%2B6cos%5E2%28theta%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cos%5E2%28theta%29-cos%28theta%29-1=0%29 ALIGN=MIDDLE  ALT=\"6cos%5E2%28theta%29-cos%28theta%29-1=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283cos%28theta%29%2B1%29%282cos%28theta%29-1%29=0%29 ALIGN=MIDDLE  ALT=\"%283cos%28theta%29%2B1%29%282cos%28theta%29-1%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283cos%28theta%29%2B1%29=0 ALIGN=MIDDLE  ALT=\"%283cos%28theta%29%2B1%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=cos%28theta%29=-1%2F3 ALIGN=MIDDLE  ALT=\"cos%28theta%29=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "theta=109.5&#730;, 250.5&#730;(in quadrants II and III in which cos<0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282cos%28theta%29-1%29=0%29 ALIGN=MIDDLE  ALT=\"%282cos%28theta%29-1%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%28theta%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "theta=60&#730;,300&#730;(in quadrants I and IV in which cos>0)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );