document.write( "Question 1173366: Evaluate and express your answer in trigonometric form:\r
\n" ); document.write( "\n" ); document.write( "3(cos π/3 + i sin π/3)*4(cos π/12 + i sin π/12)\r
\n" ); document.write( "\n" ); document.write( "I'm sorry if that is hard to read. I couldn't get the formula plotting system to work. \n" ); document.write( "
Algebra.Com's Answer #798576 by ikleyn(52909)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Use the basic formula for multiplying complex numbers in trigonometric form\r\n" );
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document.write( "    if    \"z%5B1%5D\" = \"a%2A%28cos%28alpha%29+%2B+i%2Asin%28alpha%29%29+\"\r\n" );
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document.write( "    and\r\n" );
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document.write( "          \"z%5B2%5D\" = \"b%2A%28cos%28beta%29+%2B+i%2Asin%28beta%29%29\",\r\n" );
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document.write( "then\r\n" );
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document.write( "    \"z%5B1%5D%2Az%5B2%5D\" = \"a%2Ab%2A%28cos%28alpha%2Bbeta%29+%2B+i%2Asin%28alpha%2Bbeta%29%29\".\r\n" );
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document.write( "It gives, in your case, for the product the ANSWER\r\n" );
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document.write( "    \"12%2A%28cos%28pi%2F3%2Bpi%2F12%29+%2B+i%2Asin%28pi%2F3%2Bpi%2F12%29%29\" = \"12%2A%28cos%285pi%2F12%29+%2B+i%2Asin%285pi%2F12%29%29\".\r\n" );
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document.write( "If you want  EVALUATE  it further, calculate \"cos%285pi%2F12%29\"  and  \"sin%285pi%2F12%29\",  using your calculator.\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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