document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032628>Question 1032628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let z = 4(cos 3&#960;/2 + i sin 3&#960;/2) and w = 3(cos &#960;/6 + i sin &#960;/6). Write the rectangular form of z/w.<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 #647276 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=647276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let z = 4(cos 3&#960;/2 + i sin 3&#960;/2) <BR>\n" );
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document.write( "z = 4(0 + i*-1)<BR>\n" );
document.write( "z = 4(-i)<BR>\n" );
document.write( "z = 0-4i<BR>\n" );
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document.write( "w = 3(cos &#960;/6 + i sin &#960;/6).<BR>\n" );
document.write( "w = 3(sqrt(3)/2 + i(1/2))<BR>\n" );
document.write( "w = (3sqrt(3) + 3i)/2<BR>\n" );
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document.write( " Write the rectangular form of z/w.<BR>\n" );
document.write( "z/w = -4i/(3sqrt(3)+3i)/2 = -8i/(3sqrt(3) + 3i)<BR>\n" );
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document.write( "= -8i(3sqrt(3)- 3i)/(27 +9)<BR>\n" );
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document.write( "= (-24 -24sqrt(3)i)/36<BR>\n" );
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document.write( "= (-2/3)(1 + sqrt(3)i)<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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