document.write( "Question 892076: Use DeMoivre’s theorem to find z4, if z is 1 + 1i. Express your answer in complex form. \n" ); document.write( "

Algebra.Com's Answer #540291 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"r=sqrt%281%5E2%2B1%5E2%29=sqrt%282%29\"$
\n" ); document.write( " $\"cos%28theta%29=1%2Fsqrt%282%29=sqrt%282%29%2F2\"$
\n" ); document.write( " $\"sin%28theta%29=1%2Fsqrt%282%29=sqrt%282%29%2F2\"$
\n" ); document.write( " $\"1%2Bi=sqrt%282%29%28cos%2845%29%2Bi%2Asin%2845%29%29\"$
\n" ); document.write( " $\"%281%2Bi%29%5E4=%28sqrt%282%29%29%5E4%28cos%284%2A45%29%2Bi%2Asin%284%2A45%29%29\"$
\n" ); document.write( " $\"%281%2Bi%29%5E4=4%28cos%28180%29%2Bi%2Asin%28180%29%29\"$
\n" ); document.write( " $\"%281%2Bi%29%5E4=4%28-1%2Bi%2A0%29\"$
\n" ); document.write( " $\"%281%2Bi%29%5E4=-4\"$ \n" ); document.write( "

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