document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197763>Question 1197763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rectangular coordinates (2, square root of 3 can be written by all of the following except one. Which one?<BR>\n" );
document.write( "A. (-4, 2pi/3)<BR>\n" );
document.write( "B. (4, - pi/3)<BR>\n" );
document.write( "C. (-4, 8pi/3)<BR>\n" );
document.write( "D. (4, -2pi/3)<BR>\n" );
document.write( "E. (4, 5pi/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831169 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=831169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The polar form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C5%2C%22%28%22%2Cr%2C%22%2C%22%2Ctheta%2C%22%29%22%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C5%2C%22%28%22%2Cr%2C%22%2C%22%2Ctheta%2C%22%29%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = radius<BR>\n" );
document.write( "theta = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > = angle\r<BR>\n" );
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document.write( "Useful formulas<BR>\n" );
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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta+=+arctan%28y%2Fx%29 ALIGN=MIDDLE  ALT=\"theta+=+arctan%28y%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In this case, the rectangular point we have is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C9%2C%22%28%22%2Cx%2C%22%2C%22%2Cy%2C%22%29=%28%22%2C2%2C%22%2C%22%2Csqrt%283%29%2C%22%29%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which breaks down into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+sqrt%283%29 ALIGN=MIDDLE  ALT=\"y+=+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So,<BR>\n" );
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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%282%5E2%2B%28sqrt%283%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%282%5E2%2B%28sqrt%283%29%29%5E2%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+=+sqrt%284%2B3%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%284%2B3%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+=+sqrt%287%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the distance from the origin (0,0) to the point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C9%2C%22%28%22%2Cx%2C%22%2C%22%2Cy%2C%22%29=%28%22%2C2%2C%22%2C%22%2Csqrt%283%29%2C%22%29%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Unfortunately, none of the answer choices of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C5%2C%22%28%22%2Cr%2C%22%2C%22%2Ctheta%2C%22%29%22%29 ALIGN=MIDDLE  ALT=\"matrix%281%2C5%2C%22%28%22%2Cr%2C%22%2C%22%2Ctheta%2C%22%29%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%287%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "This means there's either a typo in the answer choices somewhere, or a typo in the given (x,y) rectangular coordinates.<BR>\n" );
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