document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910967>Question 910967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rectangle form for r^2 =-csc theta </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552803 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=552803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rectangle form for r^2 =-csc theta<BR>\n" );
document.write( "-<BR>\n" );
document.write( "r^2 = x^2+y^2<BR>\n" );
document.write( "theta = arctan(y/x)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "So, -csc(theta) = -r/y = -sqrt(x^2+y^2)/y<BR>\n" );
document.write( " ------------------------<BR>\n" );
document.write( "Substitute into the given equation to get:<BR>\n" );
document.write( "x^2 + y^2 = -sqrt(x^2+y^2)/y<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "y = -sqrt(x^2+y^2)/(x^2+y^2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "y = -1/sqrt(x^2+y^2)<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );