document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117626>Question 1117626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> z1=1+2i; z2=1-i write z1,z2 and z1Xz2 in polar form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732750 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "To create the polar representation of any complex number, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large z\ =\ x\ +\ iy\">, first calculate the complex modulus <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large |z|\ =\ \sqrt{x^2\ +\ y^2}\">, then calculate the complex argument <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large arg(z)\ =\ \theta\ =\ \tan^{-1}\(\frac{y}{x}\)\">, then the polar form is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ z\ =\ |z|(\cos\theta\ +\ i\sin\theta)\ =\ |z|e^{i\theta}\">\r<BR>\n" );
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document.write( "Note that the exact representation may require you to leave the argument specified as an arctangent.\r<BR>\n" );
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document.write( "To multiply two complex numbers, proceed as with any other binomials.  However remember that when you multiply the \"last\" terms, you will be squaring <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large i\"> which results in a -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (a\ +\ ib)(c\ +\ id)\ =\ ac\ +\ i(bc\ +\ ad)\ -\ bd\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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