Page 67 - Math Grade 11 (Advance)
P. 67
PROEUS DARA
t$ ~
2. ~~m;~t":n;~e~e asin x+bsinxcosx+ccos x = d tt1ill a, b, c.,o
2
2
2
""
J.o
"" do
ff'l'W t = tanx tl:lQ11'l 3t +3t-6 = 0 M'i:HflHSZ'!:flSYMrlHi : t = 1 , t = -2 '1
1
2
n n J.o
t = tanx = 1 tl:lQ1S tanx = tan 4 , x = + kn (k E Z) '1 t = -2 ff'l'W tan a. = -2
2
4
1
, tanx = tana. , x = a.+kn , kEZ '1 fU~fila'!:flSfH~[)j x = ~+kn S~ x = a.+kn ,
G\J 4
kEZ '1
. 4 x 4x
sm -+cos -
2 2 2 1 2
. - tan xsinx = + sinx + tan x '1
1-gnx 2
n
illn2 M sinx ;e l , cosx ;e 0 , x ;e - + kn
B S 2
. x 2x) 2 . 2x zx
sm- +cos - - 2sm -cos -
(
2 2 2 2 1 + sinx +tan x{l + smx)
•
2
1- sinx = 2
1 . 2
1 --sm x
2 1 2
. = (l+sinx)(- +tan x)
1 -smx 2
2 2
. 2 )(cos x+2sin x)
{l
1. 2
1 - -sm x = - sm x
2
2 2cos x
.2 ( 2 .2 .2)
2 - sm x ( . 2 ) cos x + sm x + sm x
= 1 - sm x
2
2 2{1-sin x)
2 2
2- sin x = 1 + sin x
2
3sin x+2sinxcosx=2 '1
2
+ 2sinxcosx = 2(sin x +cos\)
ttinH~ 91~ ti at s M~fil~ s ~ cos\., o '1
A
, tanx = 1 ± J3 '1 ff'l~ tan a. = 1 ± J3
tanx = tana, x = a.+kn , kEZ '1
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