document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602278>Question 602278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me, I am so lost. The problem is: solve the equation on the interval 0 is less than or equal to theta, theta is less that or equal to 2pi. <BR>\n" );
document.write( "the equation: cos theta/2 = sec theta/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380178 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To simplify the notation, let x=theta<BR>\n" );
document.write( "cos(x/2) = sec(x/2) = 1/cos(x/2)<BR>\n" );
document.write( "This gives cos^2(x/2) = 1<BR>\n" );
document.write( "Using the identity cos^2(x/2) = 1/2(1+cos(x)), we can write<BR>\n" );
document.write( "1/2(1+cos(x)) = 1<BR>\n" );
document.write( "This gives<BR>\n" );
document.write( "cos(x) = 1<BR>\n" );
document.write( "On the interval 0 <= x <= 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the solutions are 0 and 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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