Page 64 - Math Grade 11 (Advance)
P. 64
PROEUS DARA
.,n ~ "' c<, x
Uf.1Jf!ll2 I!H1I1Sl sinx sb cosx ctlH~f:l'tlStS tan2 n:ilru X¢Jt+2krr' (kEZ) '1
1 - /
0
""
tf:ld~M cosx = -- 2 "' 2t 2 &SlgM'tlfil~ acosx+bsinx = c ttt~ctl
2~ sinx = --
rrl
1+t l+t
~
"
""
2
""
.........
M'tlfil~wtUn9 2 ttHli'i:flS t w1~Hllln : (c+a)t -2bt+c-a = 0 '1
!]
x = Jt + 2krr ctlUMH.HJM~fil~ acosx + bsinx = c Ut9 ?
~ ~
"' ""
~rnuunn 2 tr::tlgLNlli5M'tlfil~ sinx+ 7cosx = 5 '1
2
2t
""
( 1- t )
X
ff1~ t = tan-(x..,rr+2krr) M'tlfil~hlHhl~ -- +7 ---"2 =5
2 l+t 2 l+t
2 2 2
2t+7-7t = 5+5t 'i5 6t -t-l = 0 '1
.....
""
1
1
hl'tlfil~'i:flSYhl t = , t = - 3 '1
2
1
2
I
""
"
- m t = 2 tf:llilS tan X = 1 &Slg'i:fls a ER ttHli tana = 1
2 2
1
1
1
2
X 0 :>: X
tf:llilS tan = tana 1 Sl<1J = a +krr ~ x = 2a +2kn , kEZ '1
1
1
2 2
I
"""
.,
1
1
X
- m t 2 =- 3 tf:llilS tan2 = -3 tSlg'i:fls a ER twru tana =- 3
2
2
X 0 :;:: X
tf:llilS tan = tana 2 Sl<1J = a +krr ~ x = 2a +2kJt , kEZ '1
2
2
2 2
tf:lQlS cos2x + J3 sin2x = J2 &tfl ru r = J3+l = 2 , cos8 = !
2
sine = ~ = J3
r 2
M~fil~MHhl~ 2Gcos2x+ fsin2x) = J2 'i5 cos(2x- ~) = J2 = cos~
~ 3 2 4
Jt Jt 7Jt
2x- = + 2krr , x = + krr , k E Z
3 4 24
2x- ~ = - ~ + 2krr x = - ..:!_ + krr k E Z
3 4 ' 24 '
59