Page 108 - Math Grade 11 (Basic)

PROEUS DARA

0 ' 0 .x n x.n 1'1
rutmn?i~ 1 sm-cos- cos-sm- = -
u 2 3 2 3 2
t~OlS sin::.cos~ cos~sin~ =sin(::-~) - ! n:ilru! =sin~ t~OlS
2 3 --3 '23 2 2 6
. n
""'
. (x n)
""' <=~> x n
x n
""
sm - = sm '1 M1:H1WI:flStH~rum~ - = n +2kn :!1 - = n- n +2kn '1
2 3 6 2 3 6 2 3 6
7n
t:ltH S g x = n + 4kn x = - + 4kn '1
u ' 3
0 I 0 ~
ruun n?ia 2 bt:tl&Lhllru M'iH'lU 2 sinxcosx + J3- 2cosx- J3 sinx = 0
m@ru 1:~012 (2sinxcosx-J3sinx)-(2cosx-J3) = 0
..,
sinx(2cosx J3)-(2cosx J3)=0~(2cosx J3)(sinx 1)=0
J3
t~OlS 2cosx- J3 = 0 ti sinx-1 = 0 => cosx = :!1 sinx = I '1
"'- 2
n n
~tHS8 cosx = cos => x = ± +2kn :!1 sinx = => x = ~ + 2kn '1
6 6 2
n n
X = ± + 2/m :!1 X = + 2/m , k E Z '1
6 2

2. sin2x = sin(~ -x)
n. sin(2x + ~) = J ~- 2sinxcosx 3sin2x = 0

y u

""'
( n) 4 '1
t ttl ru M'i:H'il~ MH ~~ tanx = tan -
x' X
Jt
+1m , (k E Z)
4
':>
C»
l
t s g m mu M M t s u rt.nu y'
0
I I
2fl1tn1M
"' 2

t ~'i:flS ~ ~{51Ji t fil rt.n'i:flU'i (C) ttfi ru ( u' u) r:ll ii nJ 61{5 n5{5 ~i::l ruti g ~ ~{5 (C) '[!ii1 A '1

tmnli u'Au tmtticrrt.nu T tt::ilru AT= t '1 ~nU AM iltHH15fWrn'i:flS6'i{1nJ{1 t '1
I ot
u