document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812669>Question 812669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find z/w and leave your answer in polar form. z=1+i and w=1-sqrt3i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489460 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=489460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find z/w and leave your answer in polar form. z=1+i and w=1-sqrt3i<BR>\n" );
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document.write( "z/w = [(1+i)(1+sqrt(3)i)]/[(1-sqrt(3)i)(1+sqrt(3)i)]<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "= [1-sqrt(3)+(1+sqrt(3))i] / [1+3]<BR>\n" );
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document.write( "= [(1-sqrt(3))/4] + (1+sqrt(3)/4]i<BR>\n" );
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document.write( "Polar Form:<BR>\n" );
document.write( "r^2 = [(1-sqrt(3))/4]^2 + [(1+sqrt(3))/4]^2 = 0.0335 + 0.4665 = 0.5<BR>\n" );
document.write( "r = sqrt(0.5) = 0.7071<BR>\n" );
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document.write( "theta = arctan[(1+sqrt(3))/(1-sqrt(3))] = arctan[(1+3)/(4-2sqrt(3))<BR>\n" );
document.write( "= arctan[4/0.5359] = 82.37 degrees<BR>\n" );
document.write( "------<BR>\n" );
document.write( "z/w = 0.7071(cos(82.37)+isin(82.37))<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
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