Page 156 - Math Grade 11 (Advance)

PROEUS DARA

wJn '1 ttil 115 cos<p =~==>a = rcos<p sb sin<p = ~ ==> b = rsin<p
r r
Q . 0 0~
a= rcos<p sb b = rsin<p nbu22nl-lf3 z = a+bi t?1Ql2 :
~ lJ 1N
I
z = rcos<p + irsin<p = r(cos<p + isin<p) &Ulictl9L'eti0tmn.rl'i::f1Lnt2U~2~~G z '1

t:l' y
2 97U1 Ul.f7 1

mbz=-4+4i tt1rua=-4 Sbb=4
t?1Ql2 r = J16 + 16 = 4)2 tt11 115

cos <p = ~ = - __±__ = - J2 s b
r 4)2 2
-4 0 X

sinc:p = ~ = __±__ = J2 &Uln&sg <p = 3 Jt '1
r 4)2 2 1 4

3 3
~msg z = r(cosc:p+isinc:p) = 4J2(cos 1t+isin 1t) '1
4 4
t:l' 0 C) 0 0~ r::;
297U1Ull1 2 l.HtibGSSnwG 2,..;3 -2i
GV U 1GV
ctl9 L'e ~ 0 t nHl..n 1:fllJ1 '1

2J3-2i 'i:flS a= 2J3 Sb b = -2
X
2 2
t?JQlS r = J(2J3) + (-2) = 4
a 2J3 J3 ..,
t t1l 115 cos c:p = - = - = - &Ul 115
r 4 2
2J3 -2i
. b 2 l
sm<p = ; = - 4 = - 2

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