Page 70 - Math Grade 11 (Advance)
P. 70
PROEUS DARA
2
4cos(x+y)cos(y-x)-1-4cos m = 0 ff1'e (I)
dSnJtHli
1J u
2 2 2
tl=i(flS: 4cos m-4cos(x+y)cosm+l = 0, [2cosm-cos(x+y)] +sin (x+y) = 0
x + y = 2kn x - y = n + ~kn
sin(x+y) = 0
• 1
{ cos(x + y) = 2cosm cosm =- cosm =--
{ 2 { 2
1 Jt
0
- mmg cosm = m = ±:3 + 2kn tGrH cos(x + y) = 1 tl=i(flS
2
x + y = 2kn x = ~ + kn
x-y = ±:3+2krt
1 Jt ' { y=-~+kn ,kEZ
2rt
- mmg cosm = - 1 , m = ±T+2krt tSH cos(x+y) = -1
0
2
m Jt
2
x+ y = (2k+ l)rt , m = 2 + ( k+ 1)2
•• {x + y = n + 2kn
d
t?101STiiL1~
x-y = m { x-y=m 1 m Jt
y = - - + (2k + 1)-
. 2 2
x = ~ + kn
• ,kEZ
1
y=-~+kn
m Jt
X= - +(2k+ 1)-
2rt cJ 2 2
• m = ± - + 2kn 'i'i5 L1 S'i:flSU M ,kEZ '1
1 - + (2k + l)-
3 Li "' "' m rt
y = -
2
2
cJ ""
tf:~H uultij Tii rl ~ nJ'e fila
. 1
smxcosy = -
2. 4
{ 3tanx = tany
2
tl=i~Tiirl~hl~fil~ {sinxc~s2y = m + 1
cosxsm2y = m
65