document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184166>Question 184166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=i%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x=i%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > also could you explain how to solve it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138195 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=138195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please help me solve the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=i%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"x=i%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "If you are studying DeMoivre's Theorem in a trig class,<BR>\n" );
document.write( "i = (cos(90+360n) + i sin(90+360n) where n = 1,2,3....<BR>\n" );
document.write( "So: i^(1/3) = cos[(1/3)(90+360n)] + isin[(1/3)(90+360n)]<BR>\n" );
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document.write( "Letting n = 1,then 2,then3 will give you three cube roots of \"i\".<BR>\n" );
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document.write( "If n=1 you get: i^(1/3) = cos(150) + isin(150)<BR>\n" );
document.write( "If n=2 you get: i^(1/3) = cos(270) + isin(270)<BR>\n" );
document.write( "If n=3 you get: i^(1/3) = cos(30) + isin(30)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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