document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75901>Question 75901</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation in x and y for the conic section with polar equation<BR>\n" );
document.write( "r = 1/ 1+ cos(theta) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54533 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=54533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation in x and y for the conic section with polar equation<BR>\n" );
document.write( "r = 1/ 1+ cos(theta)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Conversions formulas:<BR>\n" );
document.write( "x=rcos(theta)<BR>\n" );
document.write( "y=rsin(theta)<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "r= x^2+y^2<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "r = 1/(1+cos(theta)<BR>\n" );
document.write( "r = 1/[1+(x/r)]<BR>\n" );
document.write( "r = 1/[(r+x)/r]<BR>\n" );
document.write( "r = r/(r+x)<BR>\n" );
document.write( "1= 1/(r+x)<BR>\n" );
document.write( "r+x=1<BR>\n" );
document.write( "sqrt(x^2+y^2)+x=1<BR>\n" );
document.write( "sqrt(x^2+y^2)=1-x<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "x^2+y^2=1-2x+x^2<BR>\n" );
document.write( "y^2=-2x+1<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );