document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75902>Question 75902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find out hwo to work a problem like this one:\r<BR>\n" );
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document.write( "Find the polar equation for the curve that satisfies the rectangular equation <BR>\n" );
document.write( "4x + 3y = 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54562 by </B><A HREF=/tutors/aboutme.mpl?userid=kev82><B>kev82(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kev82><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=54562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equations linking 2d-polar and 2d-cartesian are (learn these!)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?x=r\cos\theta\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?y=r\sin\theta\">\r<BR>\n" );
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document.write( "Substituting these into your equation of a line gives:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?4r\cos\theta + 3r\sin\theta =5\">\r<BR>\n" );
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document.write( "polar equations are normally written as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?r(\theta)=\"> so by factoring an <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?r\"> and dividing, you should get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?r=\frac{5}{4\cos\theta + 3\sin\theta}\">\r<BR>\n" );
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document.write( "Of course, this isn't valid when <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?4\cos\theta + 3\sin\theta = 0\"> you should think about when this happens, and what it means.\r<BR>\n" );
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document.write( "Hope that helps,<BR>\n" );
document.write( "Kev </SPAN>\n" );
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