document.write( "Question 1080022: Find two square roots for the following complex number. Leave your answers in trigonometric form. (Enter your angles in degrees. Do not use cis form.)
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document.write( "4(cos 20° + i sin 20°) \n" );
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Algebra.Com's Answer #694237 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "One value of the square root is 2*(cos(10°) + i*sin(10°)).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The other value is 2*(-cos(10°) - i*sin(10°)), which is the opposite number to the first one.\r\n" ); document.write( "\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( "From this list, the lessons marked by (*) specially relate to taking roots and square roots 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( " |