Page 190 - Math Grade 11 (Advance)

PROEUS DARA

os s
0 0 eJ eJ oC:\ 0 QJ 2
- tiiHH'iutitlltiSfHf:iill'i:fHHlb a+bi ~f:iill a Sb b tlltiSSLin '1 t'lflru i = -1
u IIIII u IJ
""~.o
"'
""'
0
02
el
- tiSSnuti a+bi Sb c+di thlff'l rugumtn a= c Sw b = d '1
IJ 1<N ~.. I
0 02
- drntintiSSnuti (a+bi)+(c+di) = (a+c)+i(b+d)
U IJ 16V
0 02
- drnf:intiSSnuti (a+bi)-(c+di) = (a-c)+i(b-d)
u 16V
0 02
- drur:iMtiSSnuti (a+bi)(c+di) = (ac-bd)+i(ad+bc)
1 IJ 16V
0 os •':lo 0 os
- tiSSnutil11hltStiSSnuti z = a+bi fflbtf:hru z = a-bi '1
\.1 16V 6V \.1 IN
os os
0 ':lo 0
- tiSSnl.3udrutStiSSnuti z = a+bi fflbtf:hru -z = -a-bi '1
\.1 1N ,; \.1 I""
I
.::» 0 os r-z-:2
"
"
l.o
- ttitf!i'i:flStiS Snuti z = a+ bi &Slg~~rnts z fflwt!:hru r = lzl = ,_Ja-+b- '1
\.1 IN
os
.. '? 0
- rnnn.fl:'ij:arntsussnuti
9 u 1 \.1 '""
0 s
0
Ql
• m z thtiSSnuutS18 lzl = lzl = 1-zl
\.1 16V
ab Zz tllBSSROti tS'Htf!iQ'lS lzlz21 = jz ~l·lzzl ' lzll = 81
u 1 "" Z"; lz2l
lz1 + z2l s lzd + izzl
'i'! el ---? " 0 0~ 0 0 " ~ ---?
- ~r:;g~ OM th~tiiiltHStiSSnuti z fflb <p tJl'ijfttitid~HS (Ox, OM) <p tUTit:tl
1 U \.1 1GV 1 U I
ffir:irut§~tsussfiou z '1 t~'ij"'irf!in..nSl~ cp trubin~tf:h8UMru1titl§M~m~:
1 · \.1 IN ZJ I W t.:.i ~
u
a a
COS<p = = -
Ja2+b2 r
.
sm<p = b = - b
Ja2+b2 r
- z = r(coscp+isincp) tUTit:tl9'D3~~tfiiM'i:flUitSU~S~~ti z = a+bi '1
- tU Z( = rl(cos<pl + isincpl) sb z2 = r2(cos<p2 + isin<pz) tal8tf!i01S
• ~ = ~[cos(cp -cp )+isin(cp -cp )]
2
1
2
1
Zz r2
• zn = [r(coscp+isincp)t = rn(cosncp+isinncp) 1Jili n mu~sr:in1W9u '1
tf!iffiti91(g01S (cos<p+isincp)n = cosncp+isinn<p tUTit:tl~~'(jg~{h '1

185