Page 60 - Math Grade 12 (Advance)
P. 60
PROEUS DARA
ttj1t1 y' == [sinx(l + cosx)]' = cosx(l + cosx) + sinx(-sinx)
2 . 2 2 (1 2 )
= COSX +COS X- SID X= COSX + COS X- --COS X
2
= 2cos x + cosx 1 = ( cosx + 1 )(2cosx --· 1)
L~lixe!R '-Is;cosxs;1 ii2J os;cosx+Is;2 '1 ~msgy'
2cosx-I '1
1 It y
2cosx- I = 0 t 81 g cosx = 2 , x = 3
1t
1 It 3
2cosx-l >0 t8lg cosx> , O<x<3
2
J't
2 cosx- < ·~~ cosx< 1 , 3<x<1t
rO'"'IOO
1 0
2
1t 0
x' X
' It I I
i.o n;l
X 3 !
y' !2 + 0 0 I I
y j 3J3 I
I
: 0 ...--------"' 4 ----_o I y'
0 Q
mmg x = n; tl!itr'IS y' = o stl y = o '1
I
l !
• I ' '
smx( 1 -ti cosxr
I ! I
y'
55