document.write( "Question 1133322: Find the 3 cubic roots of unity (1 + 0i) in complex standard form.\r
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\n" ); document.write( "\n" ); document.write( "the 0 is a zero, not a theta
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Algebra.Com's Answer #750514 by ikleyn(53751)\"\" \"About 
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document.write( "In the plane of complex numbers, 1 has the modulus \"r=1\" and the argument values \"alpha=0\",\"2%2Api\", \"4%2Api\",.... \r\n" );
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document.write( "Taking the cube root of the complex number 1, you have the modulus \"sqrt%281%29=1\" (positive value) and \r\n" );
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document.write( "three argument values \"alpha=0\", \"alpha=2%2Api%2F3\" and \"alpha=4%2Api%2F3\". \r\n" );
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document.write( "It gives three values of the cube root of the complex number 1: \r\n" );
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document.write( "1,     and   . \r\n" );
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document.write( "Figure shows complex (real) number 1 in red and two other roots in blue.\r\n" );
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document.write( "Note that these tree points are vertices of the equilateral triangle.\r\n" );
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document.write( "    \r\n" );
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document.write( "    Figure. Cube roots of the complex number 1\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is a bunch of my lessons on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Complex numbers and arithmetical operations on them\r
\n" ); document.write( "\n" ); document.write( "    - Complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Addition and subtraction of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Multiplication and division of complex numbers in complex plane\r
\n" ); document.write( "\n" ); document.write( "    - Raising a complex number to an integer power\r
\n" ); document.write( "\n" ); document.write( "    - How to take a root of a complex number (*)\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the quadratic equation with real coefficients on complex domain\r
\n" ); document.write( "\n" ); document.write( "    - How to take a square root of a complex number\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the quadratic equation with complex coefficients on complex domain\r
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\n" ); document.write( "\n" ); document.write( "    - Solved problems on taking roots of complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic operations on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problem on taking square root of complex number\r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problem on complex numbers\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on de'Moivre formula\r
\n" ); document.write( "\n" ); document.write( "    - Calculating the sum 1*sin(1°) + 2*sin(2°) + 3*sin(3°) + . . . + 180*sin(180°) \r
\n" ); document.write( "\n" ); document.write( "    - A curious example of an equation in complex numbers which HAS NO a solution\r
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\n" ); document.write( "\n" ); document.write( "Of these lessons,  the most relevant to your problem is the lesson marked  (*)  in the list.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Complex numbers\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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