document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861353>Question 861353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help solving:\r<BR>\n" );
document.write( "\n" );
document.write( "sin^2(x/2)-2 = 0 and\r<BR>\n" );
document.write( "\n" );
document.write( "sec(x/2) = cos(x/2)\r<BR>\n" );
document.write( "\n" );
document.write( "for exact solution over the interval [0,2pi].\r<BR>\n" );
document.write( "\n" );
document.write( "Thx!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519034 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=519034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin^2(x/2)-2 = 0 <BR>\n" );
document.write( "sin^2(x/2) = 2<BR>\n" );
document.write( "Ans: no solution since sin^2 cannot exceed +1.<BR>\n" );
document.write( "-----------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "sec(x/2) = cos(x/2)<BR>\n" );
document.write( "1/cos(x/2) = cos(x/2)<BR>\n" );
document.write( "cos^2(x/2) = 1<BR>\n" );
document.write( "x/2 = 0 or x/2 = 2pi<BR>\n" );
document.write( "x = 0 or x = 4pi<BR>\n" );
document.write( "------------------------- <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );