document.write( "Question 1077346: Find the Modulus and argument of the following complex numbers, and write them in trigonometric form:
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\n" ); document.write( "C) \"+-5%2B12i+\"
\n" ); document.write( "D) 1+ sqrt(3i)
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Algebra.Com's Answer #691931 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Find the Modulus and argument of the following complex numbers, and write them in trigonometric form: \r
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document.write( "A) \"5-8i\"         The modulus is \"sqrt%285%5E2+%2B+%28-8%29%5E2%29\" = \"sqrt%2889%29\".\r\n" );
document.write( "                 The argument is \"arctan%28%28-8%29%2F5%29\".\r\n" );
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document.write( "B) \"-1-+i\"         The modulus is \"sqrt%28%28-1%29%5E2+%2B+%28-1%29%5E2%29\" = \"sqrt%282%29\".\r\n" );
document.write( "                 The argument is \"pi+%2B+arctan%281%29\" = \"5pi%2F4\".\r\n" );
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document.write( "C) \"-5%2B12i+\"       The modulus is \"sqrt%28%28-5%29%5E2+%2B+12%5E2%29\" = \"sqrt%28169%29\" = 13.\r\n" );
document.write( "                 The argument is \"pi+-+arctan%2812%2F5%29\".\r\n" );
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document.write( "D) \"1%2B+sqrt%283%29i\"         The modulus is \"sqrt%281%5E2+%2B+sqrt%283%29%5E2%29\" = \"sqrt%281%2B3%29\" = 2.\r\n" );
document.write( "                 The argument is \"arctan%28sqrt%283%29%29\" = \"pi%2F3\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On complex numbers, modulus and arguments, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Complex numbers and arithmetic 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
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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( "Notice that you incorrectly wrote your complex number in D).
\n" ); document.write( "I fixed your error in my response. \r
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