document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191547>Question 1191547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> TRIGONOMETRY<BR>\n" );
document.write( "Write each equation in rectangular-coordinate form<BR>\n" );
document.write( "1. r = 1/2+sin𝜃<BR>\n" );
document.write( "2. r = 6 tan𝜃sec𝜃\r<BR>\n" );
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document.write( "Show full solution, thank you!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823353 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</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=823353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write each equation in rectangular-coordinate form\r<BR>\n" );
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document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1%2F2%2Bsin%28theta+%29 ALIGN=MIDDLE  ALT=\"r+=+1%2F2%2Bsin%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In polar coordinates, <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;\" > and <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;\" >.\r<BR>\n" );
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document.write( "=><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;\" >\r<BR>\n" );
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document.write( "=><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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+1%2F2%2By%2Fr ALIGN=MIDDLE  ALT=\"r+=+1%2F2%2By%2Fr\"   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+=+%28r%2By%29%2F2r ALIGN=MIDDLE  ALT=\"r+=+%28r%2By%29%2F2r\"   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=2r%5E2=r%2By ALIGN=MIDDLE  ALT=\"2r%5E2=r%2By\"   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=2r%5E2-r-y=0 ALIGN=MIDDLE  ALT=\"2r%5E2-r-y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....In rectangular coordinates, <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;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%28x+%5E2%2By+%5E2%29%29%5E2-sqrt%28x+%5E2%2By+%5E2%29-y=0 ALIGN=MIDDLE  ALT=\"2%28sqrt%28x+%5E2%2By+%5E2%29%29%5E2-sqrt%28x+%5E2%2By+%5E2%29-y=0\"   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=2%28x+%5E2%2By+%5E2%29-sqrt%28x+%5E2%2By+%5E2%29-y=0 ALIGN=MIDDLE  ALT=\"2%28x+%5E2%2By+%5E2%29-sqrt%28x+%5E2%2By+%5E2%29-y=0\"   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=2x+%5E2%2B2y+%5E2-y-sqrt%28x+%5E2%2By+%5E2%29=0 ALIGN=MIDDLE  ALT=\"2x+%5E2%2B2y+%5E2-y-sqrt%28x+%5E2%2By+%5E2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+6+tan%28theta+%29sec%28theta+%29 ALIGN=MIDDLE  ALT=\"r+=+6+tan%28theta+%29sec%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28theta+%29=sin%28theta+%29%2Fcos%28theta+%29 ALIGN=MIDDLE  ALT=\"tan%28theta+%29=sin%28theta+%29%2Fcos%28theta+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28theta+%29=1%2Fcos%28theta+%29 ALIGN=MIDDLE  ALT=\"sec%28theta+%29=1%2Fcos%28theta+%29\"   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+=6%28sin%28theta+%29%2Fcos%28theta+%29%29%281%2Fcos%28theta+%29%29 ALIGN=MIDDLE  ALT=\"r+=6%28sin%28theta+%29%2Fcos%28theta+%29%29%281%2Fcos%28theta+%29%29\"   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+=6sin%28theta+%29%2Fcos%5E2%28theta+%29 ALIGN=MIDDLE  ALT=\"r+=6sin%28theta+%29%2Fcos%5E2%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;\" > and <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;\" ><BR>\n" );
document.write( "​\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=6%28y%2Fr%29%2F%28x%2Fr%29%5E2 ALIGN=MIDDLE  ALT=\"r+=6%28y%2Fr%29%2F%28x%2Fr%29%5E2\"   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=%286yr%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"r=%286yr%29%2Fx%5E2\"   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=6yr=rx%5E2 ALIGN=MIDDLE  ALT=\"6yr=rx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y=x%5E2 ALIGN=MIDDLE  ALT=\"6y=x%5E2\"   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=y=x%5E2%2F6 ALIGN=MIDDLE  ALT=\"y=x%5E2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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