document.write( "Question 1180641: If z1 = 4cis300° and z2 = 2cis30° , find z1z2 in its POLAR FORM: rcis(theta). \n" ); document.write( "
Algebra.Com's Answer #810369 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "If z1 = 4cis300° and z2 = 2cis30° , find z1z2 in its POLAR FORM: rcis(theta).
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document.write( "The rule of multiplication of complex numbers, written in polar form, is THIS:\r\n" );
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document.write( "    |    The product of complex numbers is the product     | \r\n" );
document.write( "    |    of their modules and the sum of their arguments.  |\r\n" );
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document.write( "or, in mathematical form\r\n" );
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document.write( "    r*cis(a) * R*cis(b) = rR*cis(a+b)\r\n" );
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document.write( "In your problem\r\n" );
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document.write( "    z1 * z2 = 4cis(300°)*2cis(30°) = 8cis(330°).\r\n" );
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\n" ); document.write( "\n" ); document.write( "On complex numbers, see introductory lessons\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
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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( "in this site.\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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