document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872773>Question 872773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all possible solutions:<BR>\n" );
document.write( "a.) 7cosx = 4 - 2sin^2x\r<BR>\n" );
document.write( "\n" );
document.write( "b.) 2sec^2x + tan^2x = 3\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526447 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=526447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find all possible solutions:<BR>\n" );
document.write( "a.) 7cosx = 4 - 2sin^2x<BR>\n" );
document.write( "------<BR>\n" );
document.write( "7cos(x) = 4 - 2(1-cos^2(x))<BR>\n" );
document.write( "7cos(x) = 4 - 2 + 2cos^2(x)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2cos^2(x) - 7cos(x) +2 = 0<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Use the Quadratic Formula to get:<BR>\n" );
document.write( "cos(x) = [7 +- sqrt(49-4*2*2)]/4<BR>\n" );
document.write( "cos(x) = [7+-sqrt(33)]/4<BR>\n" );
document.write( "cos(x) = 0.3139 <BR>\n" );
document.write( "x = arccos(0.3139) = +-71.7 degrees<BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "b.) 2sec^2x + tan^2x = 3<BR>\n" );
document.write( "2(1+tan^2(x)) + tan^2(x) = 3<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "2 + 3tan^2(x) = 3<BR>\n" );
document.write( "tan^2(x) = 1/3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "tan(x) = 1/sqrt(3)<BR>\n" );
document.write( "x = 30 deg or x = 180+30 = 210 degrees<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );