document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437589>Question 437589</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation 2cos^2theta + cos2theta=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302749 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=302749\">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=2cos%5E2%28theta%29+%2B+cos%282theta%29+=+0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28theta%29+%2B+cos%282theta%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=2cos%5E2%28theta%29+%2B+2cos%5E2%28theta%29+-+1+=+0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28theta%29+%2B+2cos%5E2%28theta%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=4cos%5E2%28theta%29+=+1 ALIGN=MIDDLE  ALT=\"4cos%5E2%28theta%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%5E2%28theta%29+=+1%2F4 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29+=+1%2F4\"   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;\" >, or <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( "From the first equation, we get 240 degrees or 300 degrees.<BR>\n" );
document.write( "From the 2nd equation we get 60 degrees or 120 degrees.<BR>\n" );
document.write( "All solutions can described by the following:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5E0+%2B+n%2A180%5E0 ALIGN=MIDDLE  ALT=\"60%5E0+%2B+n%2A180%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%5E0+%2B+n%2A180%5E0 ALIGN=MIDDLE  ALT=\"120%5E0+%2B+n%2A180%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where n varies over all the integers.  </SPAN>\n" );
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