Page 159 - Math Grade 11 (Advance)

PROEUS DARA

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rutnHil~U 1
u

tH~W z = 2J3-2i fE:Jrn a= 2J3 ~tl b = -2 tR'QlS r = ,Ji2+4 = 4
1/11) 1
2
&C:Jlt:15 COS<p = ~ = J3 = J3 ~t\ sin<p = ~ =- ~ =-! t'Uln&Sg <p =- ~ ~
r 4 2 r 4 2 1 6-
1
<p= ~"~z1 = 2J3-2i = 4[cos(-~)+isin(-~)J '1
z = -1 +iJ3 ttlrn a= -1 Si:l b = J3 tR'Ql2 r = Jf+3 = 2
2
a 1 "" "" . b J3 o 2n
ttnru coscp = ~ =- 2w smcp = ~ = t'Ul~t2o cp = '1
2 2 3
2 2
~z2 = -l+iJ3 = 2(cos "+isin ") '1
3 3
2 2
z1z 2 = 4 x 2[ cos(- ~ + ") +sin(- ~ + ;) J '1
3
= 8 cos 3n .. 3n)
+ tsm
(
6
6

z = 1 + i ~ = Jf+i = ,J2
r
1
n
t t:r1 ru COS<p = l_ = ,j2 St\ sin<p = l_ = ,j2 <p = 4 '1
,J2 2 ,J2 2
tR'Ql2 z 1 = J2( cos~+ i sin~) '1

r
z = 1 + i J3 ~ = J1+3 = 2
2
cos<p = - 2w sm<p = - J3 t'Ul61&2g n
1 ""J..>
•
2 2 1 <p = 3 '1
tR'Ql2 z 2 = 2(cos~ + isin~) '1

r:::. ( 7n .. 7n)
= 2 2 COS + lSlllU
Aj£.
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