document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029961>Question 1029961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> tan^2x=(3/2)secx<BR>\n" );
document.write( "(use identities to help simplify into 1 trigonometric function) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644870 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin^2 x/cos^2 x=3/(2 cos x)<BR>\n" );
document.write( "sin^2x/cos x=3/2<BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "2sin^2 x=3 cos x<BR>\n" );
document.write( "2(1-cos^2 x)=3 cos x<BR>\n" );
document.write( "2-2cos^2x=3cos x<BR>\n" );
document.write( "-2cox^2x-3cos x+2=0<BR>\n" );
document.write( "2cos^2x+3cos x-2=0<BR>\n" );
document.write( "(2cos x -1)(cos x+2)=0<BR>\n" );
document.write( "cos x=1/2,-2, which is not possible<BR>\n" );
document.write( "x=pi/3, 5pi/3<BR>\n" );
document.write( "tangent^2 (pi/3)=3<BR>\n" );
document.write( "sec pi/3=2<BR>\n" );
document.write( "(3/2) sec pi/3=3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );