document.write( "Question 445902: please help with the following question i just cant figure it out it says
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document.write( "Find the three cube roots of Z = 5cos225degrees + jsin 225degrees and show these on an argand diagram
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document.write( "Which of these roots is the PRINCIPAL ROOT? \n" );
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Algebra.Com's Answer #307065 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the three cube roots of Z = 5cos225degrees + jsin 225degrees and show these on an argand diagram \n" ); document.write( "Which of these roots is the PRINCIPAL ROOT? \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Z^(1/3) = 5^(1/3)[cos(225+360n)/3 + jsin(225+360n)] \n" ); document.write( "-------------------- \n" ); document.write( "Let n = 0 then z^(1/3) = 5^(1/3)[cos(75) + jsin(75)] \n" ); document.write( "That is the principal root \n" ); document.write( "----------------- \n" ); document.write( "Let n = 1 then z^(1/3) = 5^(1/3)[cos(195) + jsin(195)] \n" ); document.write( "-------- \n" ); document.write( "Let n = 2 then z^(1/3) = 5^(1/3)[cos(315) + jsin(315)] \n" ); document.write( "=============== \n" ); document.write( "Those are the 3 cube roots. \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |