document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=810442>Question 810442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: Consider the complex number -1 + sqrt(3)i<BR>\n" );
document.write( "a) Write this number in polar form<BR>\n" );
document.write( "b) Find all solutions of z^3= -1 + sqrt(3)i<BR>\n" );
document.write( "c) Find all values of log (-1 + sqrt(3)i)<BR>\n" );
document.write( "d) Find all values of (-1 + sqrt(3)i)^2+i\r<BR>\n" );
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document.write( "I have immense trouble with this stuff, just started the course after a decade of no math of any kind, just re-learning the basics. I tried a, got this far:\r<BR>\n" );
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document.write( "a) z=a + bi; -1 + sqrt(3)i in polar form: r= sqrt [(-1)^2 + sqrt(3)^2]<BR>\n" );
document.write( "                                          r= sqrt (4) = 2<BR>\n" );
document.write( "                                          theta = tan (b/a) = tan[sqrt(3)/-1)]<BR>\n" );
document.write( "                                          theta = -1.047 = -0.333 pi\r<BR>\n" );
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document.write( "*I get lost figuring out which quadrant the complex number is in after this<BR>\n" );
document.write( "*I gave up on all of the other questions after this<BR>\n" );
document.write( "*How is my notation in this message ? Can you read my questions easily enough, or are there better ways to present the data.\r<BR>\n" );
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document.write( "Thank you for any/all help     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488160 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=488160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this question is so long\r<BR>\n" );
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document.write( "I do part a) here:\r<BR>\n" );
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document.write( "a) Answer: radius = 2 , angle = 120 degrees\r<BR>\n" );
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document.write( "You can ask me more at : mthman@gmail.com\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( " </SPAN>\n" );
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