document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087981>Question 1087981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> eliminate the parameter and write the cerresponding rectangular equation for x = 2cos t and y = 3sin t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702247 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Square both sides of each equation:<BR>\n" );
document.write( "x^2 = 4cos^2(t) -> x^2/4 = cos^2(t)<BR>\n" );
document.write( "y^2 = 9sin^2(t) -> y^2/9 = sin^2(t)<BR>\n" );
document.write( "Now add the two equations:<BR>\n" );
document.write( "sin^2(t) + cos^2(t) = x^2/4 + y^2/9<BR>\n" );
document.write( "x^2/4 + y^2/9 = 1<BR>\n" );
document.write( "This is the standard form for an ellipse. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );