document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204941>Question 1204941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)<BR>\n" );
document.write( "r = 4 sin(𝜃) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841489 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+4sin%28theta%29 ALIGN=MIDDLE  ALT=\"r+=+4sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we know that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=r%2Acos%28theta%29+ ALIGN=MIDDLE  ALT=\"x=r%2Acos%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=x%2Fr ALIGN=MIDDLE  ALT=\"cos%28theta%29=x%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=r%2Asin%28theta%29+ ALIGN=MIDDLE  ALT=\"y=r%2Asin%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=y%2Fr ALIGN=MIDDLE  ALT=\"sin%28theta%29=y%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E-1%28theta%29=y%2Fx ALIGN=MIDDLE  ALT=\"tan%5E-1%28theta%29=y%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=sqrt%28x%5E2%2By%5E2%29 ALIGN=MIDDLE  ALT=\"r=sqrt%28x%5E2%2By%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"r%5E2=x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.4\r<BR>\n" );
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document.write( "then, substituting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.2 given equation  becomes\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+4%28y%2Fr%29 ALIGN=MIDDLE  ALT=\"r+=+4%28y%2Fr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......both sides multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+4y ALIGN=MIDDLE  ALT=\"r%5E2+=+4y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2 ALIGN=MIDDLE  ALT=\"r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2+=+4y+ ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2+=+4y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2+-4y+=0 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2+-4y+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => a Cartesian equation\r<BR>\n" );
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