In order lo pul ( - I + i) 7 in rcclangular fomt. wrilc

Chapter 0, Problem 1.67

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In order lo pul ( - I + i) 7 in rcclangular fomt. wrilc (-I+ i)7 = (Jiei-':r.:4)7 = 27/2ei21:r/4 = (2\,i5:r)( 21/2ei:r/4). Because 2\,i5 :r = (8 )( - I> = - 8 and 21 i:>e; :ri4 = ,J2 (cos JT + i sin JT) = J2 (-1 - + _;_) 4 4 Ji. Ji. \\IC arrive al lhc desired result (-1 + i)7 = -8 (I+ i). Finally. we observe lhal if r =I. cqumion (4) becomes (l'i/!)11 = einll (II= 0. J. 2 .... ).

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