document.write( "Question 74789: Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form of a+bi without trigonometric functions. \n" ); document.write( "

Algebra.Com's Answer #53805 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29\"$ Distribute the 12
\n" ); document.write( " $\"12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29\"$ Evaluate $\"cos%28pi%2F3%29\"$ and $\"sin%28pi%2F3%29\"$
\n" ); document.write( " $\"12%281%2F2%29%2Bi%2A12%2A%28sqrt%283%29%2F2%29\"$
\n" ); document.write( " $\"6%2Bi%2A6%2A%28sqrt%283%29%29\"$
\n" ); document.write( "So $\"12cos%28pi%2F3%29%2Bi%2A12sin%28pi%2F3%29%29\"$ becomes
\n" ); document.write( " $\"6%2B6%2Asqrt%283%29i\"$
\n" ); document.write( "Which is in $\"a%2Bbi\"$ form where $\"a=6\"$ and $\"b=6sqrt%283%29\"$ \n" ); document.write( "

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