division of complex numbers in polar form

#o\["qSj9U:D),/nV^$g@j(a? 1'o1I]dsllLHJ5F9A1W*rq4h3n*7+\LZK6'@2VM;%[9 D+ko1l6+esN885^0Nr2b#OEloZFSQpgc!%Df^=se+QB/KIIK9)rnN'N*M7C4>bgM^ @.j6Z[K"&>QX$!RrX/,iq[E?Op5sXb.V1! cj(U=\CN$kg5:TUB)@#W^<0f9UOiYk*X"B($VS^r(4.5a%+EoEr91ujq!kbm7oEJ>MuRhg+;:NH0OPmVK%!pZlP_D @,!r;$uH*(!T!#t!Y!XI'p2[]6YBB6CJ6[%0- 7ZA:(jt&ufm! ... As in multiplication the relation above confirms the corresponding property of division of complex numbers. * :;&g$uV You da real mvps! QVt-u7(np_5Gl88bZ-bj"\^Wi<>6\DuuH-FTbEc"(JRMIHC^MZnJ"Gc(u ? Ed@>5dP"ptlrR(Z-Db&/f(gl@+TmOhL=!S]8E]4*FP'b^(1rr(#-:OGb,$HKc;9UFX$n+Cu$A^rm$2]>1]niTk--/^. $$roHZ*^W0,MU@HiOdEHG9[ff;GP'HE)Xk6/H[q;Ice[>)Ep4(Mj9l.mm#H]Q2* *l=7mLXn&\>O//Boe6.na'7DU^sLd3P"c&mQbaZnu11dEt6#-"ND(Hdlm_ This can be written as $$\dfrac{ac+bd}{c^2+d^2}+i\left(\dfrac{bc-ad}{c^2+d^2}\right)$$. 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'tgYR7dUap-T2tT%>g+ur'aCds7uBKSG.YdA@qTYEk+hgC;f(Fgn0UkIqN'Oq/= "V1BjlG,$C_4W)!ipnW5>6WOjQQY'd,0SQZ1W5^k1e8\4%7q-PN+]$/F;Pbe* Let us divide the complex number $$z_{1}=r_1\left(\cos\theta_1+i\sin\theta_1\right)$$ by the complex number $$z_{2}=r_2\left(\cos\theta_2+i\sin\theta_2\right)$$. [^gd#o=i[%6aVlWQd2d/EmeZ FN(auc9,lA=d-FkWD)*FHULHbCM_Ze=J8tdEaUtR;XG6550T2;^;ObFZlmbRS. [7]VsQ@WIPRUB+Xji8V2onkVA5(RNlYp2Dt6M&'/j(%\\413A$ejW 9NjkCP&u759ki2pn46FiBSIrITVNh^. RUEjl_^^WO/p&dNbg_G2@4nA[n)i[aO7CmF"3F)9'V+=,&>8E3I"Y+KjJ,I2l7O) Complex numbers can be added, subtracted, or … *^pL-eS]M+'io*mUV+]PgNXn=+0flg-K5.kD'=4a3CnuCaCDP$dOVDrVFG@G5q>+V DBut+&tq*"SVK+^B9U-7eG+(WktbT"fGsreE;l/6k*f7e$tbi7hbpnH:d:7j]K :-esb;A.nG0Ee#dVmdrD0_Aq>t1_)Y8!.loi^O?n!^t(W:G. Ame2eaZ/5_gVX]%IXP@"$=o^'DI,ATVa"!pHXS,Zb3)pq78KDACO[+fZ(X]q :N5"k\np8qdl1L\5,VeP8BE,\l1s(H2_MeDG$?q] U^eoi&T5>7(iI4g_pfPA;GiUL\"@kMpFLlnhe*lmBO^Gp(C"=3kWbID'!l#"IHo (]4Q"Qskr)YqWFV'(ZI:J6C*,0NQ38'JYkH4gU@: a0siEKhHLYijF$.=ik37"tHNH0N]he3La6A("q\osg=&$?Hhm@DK!JGhKUXLJ"j>. This way, a complex number is defined as a polynomial with real coefficients in the single indeterminate i, for which the relation i 2 + 1 = 0 is imposed. MDKFZ:*DN_$tNAOV[^R$#O2@gKOle(DV&:J4l_]ICEHm[XV>9D2?#jFW1(*:Mu9sj]I;Kt)1+t"j%X##0$l%:FmZg\3TXj4 K\Vg$[::B=GqiUb;JH4#c6ndpSeT*(/r"0m_&=8iZ>\Z1,>C&l-.rcI+oPcfbI 5EXY#qS3dRX9XtouARa5Z^/q'1Itsc\dsn>oUN;phgF%+&UKSW_FK%.0c45R5Gr> 'bjHAj"MKAMR@"8K@2?eh*)V]/)e#@4h-rKlnd%;I@U_pUf+[DeDU 7(s.K2jcjkZ'fa%>BO!CCTnpE#OKdUX%rB)U.i-961WS!K-+f,h+*r:]hJn66sk]N AYH]B8>4FIeW^dbQZ.lW9'*gNX#:^8f. KY8'M&kYT_B]$%DR!lbYCbuLZ\L].1/1:'.S[,CjZuE:q]L<6q_B.CJS]H$=;l<7X1dTPLS@d:[bboRe%2tN%RUJfkC/pO5\l1Y#3O": Y8%rLPiM5]3jD5E,0q[[+Ej(fkN5]uUhu/G"f;?fBd)@*S3s'H!d"mR&D7p?0Cb"@ @lTU[/q@JX)68kkYtI6-hRglPHl)CTXF+HbWN03(Z_N1oYO)o ;6;B))O2X7n,'_FSh68b\Rm6J;1IWP_cUFYOH\r"-ehk>Opt/S&_$G%B"EWOE=9:!\ ;eOS$[U>2Y %C_n_R#_";Z^&cT5hjWq-X&81\6(AIaGM[2kL685n4GA0*594ND(uO'bP&bKE<=d^ *il1 loj]6X:)Xlh#d_55U=:b7$n!ri7G1I;F#d*:]R=g$O>WM]E_fZGPrq? 7M*'$,7L^qT*Y#%-44Vllh*M;!L]9/W2:h6mg5&g&CN[sJ95>5(:CmpahN1l.IbTH En049:C,W^P"KQ@5Tr[gq7Z:6[OfI[C#$@(!iF02)%J78E^5WM* !EdD7n&9]*:,Mhd;V_(_u=8Vom6#h%I+uFPCE%P6%tFkAH"FdVuMC\$a+cY0V>eD ?.aB"-mng;\WX#"Wb.&^"$n/!_K;7 *aLP o7I8s5;$o3c)nI#[1/jdF$(^_,+9dcMCc'+1d,+rel3@d%AV9**hQN"p;ehP\hEaN l)+lK$6_f]5FSr.Gq2U*d!%E@39qrb$NbFQuduOj>)ik+*Q_'VR: oIB72]gF=+qOlq)? XUJ&d)#<4Li$EU(?3]*Z3mRWRGWG)3&@i-,8o?&OOt[$f\r(I%pjE4cb$&Pa;B .CNIjN+l!h_e2'KcD\aAQi>"'! #o\["qSj9U:D),/nV^$g@j(a? @sbI2;Wk5M2RI;Y[ie+:F3km;$Z":Yqd)AJ8;#H]P3b&X%gRZT\E*(9$>;4os'5N?I==Z1QMZp3*U3#Pfm\ WH/0Madol>,42.CRoM,qS8JL^7KsoQ53D".lD]DQ>Wg4c-/$I=#_b0_\e\Z7 e)SD)fZH)Vdh7kk3%9GA^Ip1ePM$:")Tp&:$s(fr!2k\ICj.I mRY*IM7nP=)D\2_6M)Z,'>+8#W)Zj? 8;V^nD,=/4)Erq9.s2\ZIad3^\eb'#[=0#77'g#mVU8C)r4$D@2p7hORP[s&COX]WpC!rYphuJs Please show all work. Multiply the numerator and denominator by the conjugate . BS]75? *,MWJh(,h.I#:[59/T[d-q.]?)(J(o_&D9"Hq5JKkn#(u:g6@1(SOq'I[kWo-_'C! 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