document.write( "Question 218937: evaluate (1+i)^12 by using De Moivre's Theorem.express the result in rectangular form \n" ); document.write( "

Algebra.Com's Answer #165510 by Alan3354(69443) $\"\"$ $\"About$

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z = 1+i
\n" ); document.write( "----------
\n" ); document.write( "(1+i)^12
\n" ); document.write( "r = |i+i| = sqrt(2)
\n" ); document.write( "theta = 45º
\n" ); document.write( "z^12 = r^12cis(theta*12)
\n" ); document.write( "= 64cis540
\n" ); document.write( "= 64*(cos(540 + isin(540))
\n" ); document.write( "= 64*(-1 + i*0)
\n" ); document.write( "= -64
\n" ); document.write( " \n" ); document.write( "

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