document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627085>Question 627085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation on the interval [0,2pi] for sin^2 theta-cos theta=4. What is the solution set?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394665 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=394665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation on the interval [0,2pi] for <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "sin^2 theta-cos theta = 4<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Substitute for sin^2<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "1-cos^2(x) - cos(x) = 4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rearrange<BR>\n" );
document.write( "cos^2+cos+3 = 0<BR>\n" );
document.write( "cos = [-1 +- sqrt(1-4*3)]/2<BR>\n" );
document.write( "cos = [-1 +- sqrt(-11)]/2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Note: The cos values are complex numbers.<BR>\n" );
document.write( "No Real Number solution for theta.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );