document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594162>Question 594162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 2sin^2A = cosA + 2 over the interval [0,2&#960;] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376807 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=376807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 2sin^2A = cosA + 2 over the interval [0,2&#960;]<BR>\n" );
document.write( "2sin^2=cos+2<BR>\n" );
document.write( "2(1-cos^2)=cos+2<BR>\n" );
document.write( "2-2cos^2=cos+2<BR>\n" );
document.write( "2cos^2+cos=0<BR>\n" );
document.write( "cos(2cos+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosA=0<BR>\n" );
document.write( "A=&#960;/2 and 3&#960;/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2cosA+1=0<BR>\n" );
document.write( "cosA=-1/2<BR>\n" );
document.write( "A=2&#960;/3 and 5&#960;/3 (in quadrants III and IV where cos<0) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );