MATH1021 Lecture Notes - Lecture 2: Algebraic Equation, Pcx, Abraham De Moivre
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0= b= to z=i polar zeatbi zl r= Eai )= -25 egnrgu - d= tain"t ) sin "( 1) 3 need draw to diagram for quadrant . Given z=r( w in polar form cosotisino cosoltisino t( Cotl cosocoslo multiply wscoto ) rsinottsino rcosottceso i( computing cososinoltsinocol sihosinl group like. But : form so cost the moduli and add. A) using polar add x the arguments. To divide divide subtract complex the moduli numbers in polar form the arguments. 4 the raise modulus to the integer isinno. W e of complex e solve numbers zn=w. Cartesian form zn = z w atbi atbi. $ = argz ( or argz ) g. t . zt. Zn - w zn = rciso has n distinct roots. Zh=rtcis n roots are separated by this angle. !1! k can be integers from any eg r= n. Zo = cis ( 0 ) z cistsef is (4 )