document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493646>Question 493646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all t in the interval [0, 2&#960;] satisfying (cos t)2 &#8722; 6 cos t + 5 = 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335481 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=335481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all t in the interval [0, 2&#960;] satisfying (cos t)2 &#8722; 6 cos t + 5 = 0.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "assuming you meant  (cos t)2 to be cos^2t:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos^2t-6cost+5=0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(cost-5)(cost-1)=0<BR>\n" );
document.write( "cost-5=0<BR>\n" );
document.write( "cost=5 (reject, not in range)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cost-1=0<BR>\n" );
document.write( "cost=1<BR>\n" );
document.write( "t=0 and 2&#960; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );