Page 69 - Math Grade 11 (Advance)
P. 69
PROEUS DARA
ttiuLnnruLlin ~ M11rm j + Y =. ~
~
"' 1
2£ntnUll1
smx+ smy =
t1Um"Bslifrut! rlct ru'iJntvh::hct nmn.n t?lms M11nu
l.j u " u 1
sinx+siny = 2sin(x;y)cos(x;y) = 1 ti::!lru x+y = ~ t?lOIS 2sin~cos(x;y) = 1 <J
t?l'HlS sin~=~ sl~ cosC;Y) = 1 =cosO t?lOIS x;y = 2kn ~ x-y = 4kn
n lx = ~ + 2kn
6
t?l01SUJrl2 x+y=3 , (k EZ) <J
l
"' x-y = 4kn y = ~-2kn
n (1)
l
x+y=2
tanx + tany = J3 + 1 (2)
n n o o
run:&rul x.-- +kn , y.-- +kn , kEZ <J ti::!ltiJ tany = cotx ffi'B'Btittlm
s 9 2 2 1 ~
x + y = ~
l (1) lx + y- ~
2
Umx+~y = J3+~ (2) ' Umx~~J3+~)tanx+l = 0
2
tan x-(J3+1)tanx+l = 0 'HlSYhlrJ~~ t 1 = J3 , tz = 1 <J
n l
n x+ Y = ~ x+y=- x+y=-
l l 3 l 3 2 'i5 X = + kJt
x+y=-
tanx = ~ = Umj ~ tanx =~=tan~
n 2
'
n
"'-
n
X = + kn
6
6
x-y=m (1)
2
{ 2( cos2x + cos2y)- 1- 4cos m = 0 (2)
64