document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=476992>Question 476992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if MOD (Z-3)=3 THEN PROVE (Z-6)/Z=itan(argZ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327027 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327027\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There's a little problem with your statement:\r<BR>\n" );
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document.write( "Let z = a + bi. \r<BR>\n" );
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document.write( "Then z - 3 = (a- 3) + bi.<BR>\n" );
document.write( "==> |z - 3| = |(a- 3) + bi| = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28a-3%29%5E2+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28a-3%29%5E2+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3, by the given.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-3%29%5E2+%2B+b%5E2+=+3%5E2 ALIGN=MIDDLE  ALT=\"%28a-3%29%5E2+%2B+b%5E2+=+3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+6a+%2B+9+%2B+b%5E2+=+9 ALIGN=MIDDLE  ALT=\"a%5E2+-+6a+%2B+9+%2B+b%5E2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+%2B+b%5E2+=+6a ALIGN=MIDDLE  ALT=\"a%5E2+%2B+b%5E2+=+6a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-6%29%2Fz+=+%28%28a-6%29+%2B+bi%29%2F%28a%2Bbi%29+=+%28%28%28a-6%29+%2B+bi%29%2F%28a%2Bbi%29%29%2A%28%28a-bi%29%2F%28a-bi%29%29 ALIGN=MIDDLE   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=%28a%28a-6%29-%28a-6%29bi+%2B+abi+-+b%5E2%2Ai%5E2%29%2F%28a%5E2+%2B+b%5E2%29+=+%28a%28a-6%29+%2B+6abi+%2B+b%5E2%29%2F%286a%29 ALIGN=MIDDLE   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=%28a%5E2+-+6a+%2B+6abi+%2B+b%5E2%29%2F%286a%29+=+%286a+-6a+%2B6abi%29%2F%286a%29+=+%286abi%29%2F%286a%29+=+bi+=+Im%28z%29%2Ai ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=arg%28z%29+=+tan%5E%28-1%29%28b%2Fa%29 ALIGN=MIDDLE  ALT=\"arg%28z%29+=+tan%5E%28-1%29%28b%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28arg%28z%29%29+=+b%2Fa ALIGN=MIDDLE  ALT=\"tan%28arg%28z%29%29+=+b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+a%2Atan%28arg%28z%29%29 ALIGN=MIDDLE  ALT=\"b+=+a%2Atan%28arg%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, hence <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-6%29%2Fz+=+a%2Ai%2Atan%28arg%28z%29%29+=+Re%28z%29%2Ai%2Atan%28arg%28z%29%29 ALIGN=MIDDLE  ALT=\"%28z-6%29%2Fz+=+a%2Ai%2Atan%28arg%28z%29%29+=+Re%28z%29%2Ai%2Atan%28arg%28z%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Check again the statement of your result. </SPAN>\n" );
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