document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241424>Question 241424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cos(x) + 2 = -sec(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176787 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=176787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cos(x) + 2 = -sec(x)<BR>\n" );
document.write( "cos(x) + sec(x) + 2 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by cos(x) to get this quadratic:<BR>\n" );
document.write( "cos^2(x) + 1 + 2cos(x) = 0<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "cos^2(x) + 2cos(x) + 1 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(cos(x) + 1)^2 = 0<BR>\n" );
document.write( "cos(x) = -1<BR>\n" );
document.write( "x = pi+2npi where n = 0,1,2,...<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );