document.write( "Question 1080026: Find three cube roots for the complex number. Leave your answers in trig form. In degrees, not cis form 8(cos 90° + i sin 90°) W0 = W1= W2=? \n" ); document.write( "
Algebra.Com's Answer #694244 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "W0 = 2*(cos(30°) + i*sin(30°)).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "W1 = 2*(cos(150°) + i*sin(150°)). Notice that 150° = 30° + 120° = 30° +\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There is a bunch of 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 \n" ); document.write( " \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( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this list, the lessons marked by (*) specially relate to taking roots of high degree of complex numbers. \n" ); document.write( "So, these lessons specially relate to your problem.\r \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Complex numbers\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |