document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032727>Question 1032727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the 3 cube roots of -i 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 #647337 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=647337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+=+-i+=+cos%283%2Api%2F2+%2B+2k%2Api%29+%2B+i+sin%283%2Api%2F2+%2B2k%2Api%29 ALIGN=MIDDLE  ALT=\"x%5E3+=+-i+=+cos%283%2Api%2F2+%2B+2k%2Api%29+%2B+i+sin%283%2Api%2F2+%2B2k%2Api%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=x+=+%28-i%29%5E%281%2F3%29+=+%28cos%283%2Api%2F2+%2B+2k%2Api%29+%2B++isin%283%2Api%2F2+%2B2k%2Api%29%29%5E%281%2F3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > for k = 0, 1, 2, 3, 4,...\r<BR>\n" );
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document.write( "Choose k = 0, 1, and 2 to find the three distinct cube roots, and apply de Moivre's theorem\r<BR>\n" );
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document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+cos%28pi%2F2+%2B+2k%2Api%2F3%29+%2B++isin%28pi%2F2+%2B2k%2Api%2F3%29 ALIGN=MIDDLE  ALT=\"x+=+cos%28pi%2F2+%2B+2k%2Api%2F3%29+%2B++isin%28pi%2F2+%2B2k%2Api%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+cos%28pi%2F2%29+%2B++isin%28pi%2F2%29+=+i ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+cos%28pi%2F2%29+%2B++isin%28pi%2F2%29+=+i\"   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=x%5B2%5D+=+cos%287pi%2F6%29+%2B++isin%287pi%2F6%29+=+-sqrt%283%29%2F2+-+i%2F2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+cos%287pi%2F6%29+%2B++isin%287pi%2F6%29+=+-sqrt%283%29%2F2+-+i%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=+cos%2811pi%2F6%29+%2B++isin%2811pi%2F2%29+=+sqrt%283%29%2F2+-+i%2F2 ALIGN=MIDDLE  ALT=\"x%5B3%5D+=+cos%2811pi%2F6%29+%2B++isin%2811pi%2F2%29+=+sqrt%283%29%2F2+-+i%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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