Page 175 - Math Grade 11 (Advance)

PROEUS DARA

~HLflS1tHo9 4 &st3ssiH~u -8 + i8,/3 ~umhtHuii~um::tru~l:H~ '1
"' lJ 16\1 lJ "\.,!) &
2 2
fflh z = - 8- i8,/3 ti:1 ill a = -8 Si:l b = ~8,/3 t?'iQlS r = J( -8) + (8,/3) = 16
8 4
cos<p = ~ = - !_ = -! Si:l sincp = ~ = - ,/3 = -,/3 t'i..fHHSl: <p = rt '1
r 16 2 r 16 2 1 3

&r:1ru k=0,1,2,3'1

- 2[ (4rr: + 6krr:) . . (4rr: + 6krr:)]
wk - cos + zsm
12 12
d5 k = 0 tm:: w 0 = 2( cos~+ isin~) = 1 + i,/3

""
M3
m k = 1 b ~ 1 o WI = 2( COS 5rt · · 5rt) = - .j ::J + I ·
reno
+ l Sin
6 6

1 1
dj k = 3 tm:: w 3 = 2(cos ~rr:+isin ~~ = ,/3-i '1

0
0
"
130Jlu Mo, Ml' M2, M3 mh Wo, WI' Wz, w3 ctln~ ruts filt~

0 6 Ql ':>
nt~ru z = -64 , z my tug 6 cs -64 '1
2
-64 = -64+0i 'i:llS'i§~ru r = J(-64) +0 = 64
u 1
tf:tHJ5 COS<p = ~ = - 64 = -1 Si:J sin<p = ~ = .Q_ = 0 ttnmsg <p = rt '1
r 64 r 64 1
t:::J} \:1 0 •
t?lQlS -64 = 64(cosrr:+isinrr:) ytug 6 tS -64 nCl..fHHt:tlt15:
I
6 2
wk = 64 [cos(rr:+~krr:) +isin(rr:+ krr:)J &r:1ru k = 0, l, 2, 3, 4, 5 '1
6

ttl k = 0 tm:: w 0 = 2( cos~+ isin~) = ,/3 + i

ttl k = 1 tm:: w 1 = 2( cos~+ isin~) = 2i

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