document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955454>Question 955454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for solutions over the interval (0 deg, 360 deg)\r<BR>\n" );
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document.write( "4 cos^2 theta + 4 cos theta = 1\r<BR>\n" );
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document.write( "i believe the quadratic formula applies but am stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583687 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=583687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve for solutions over the interval (0 deg, 360 deg) <BR>\n" );
document.write( "4 cos^2 theta + 4 cos theta - 1 = 0 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "cos(t) = [-4 +- sqrt(16-4*4*-1)]/8 = [-4+-4sqrt(2)]/8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "cos(t) = [-4 + 4sqrt(2)]/8 = [-1+sqrt(2)]/2 = 0.2071<BR>\n" );
document.write( "or<BR>\n" );
document.write( "cos(t) [-1-sqrt(2)]/2 = -1.2071 (extraneous)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "t = arccos(0.2071) = 78.04 degrees or 281.96 degrees<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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