Page 110 - Math Grade 11 (Basic)

PROEUS DARA

1
n. tanx = - 2. tan3x = J3
J3
2tanx r;;
R. 2 = ~3 ill. 2tanxcosx+ 1 = 2cosx+ tanx '1
l-tan x

3.4 dnun:tnnrurufjmt cotx = m

MYffl~ cotx = cota ffitJM~tM~ _l_ = tanx = tana '1
tanx tana
~msg &Rffit::Ht!l8U'fltiHd~Al~ cotx = m ~tHu~Al~ tanx = t 2lhtmt!:i~ '1

G&mHu~Al~ cotu(x) = cotv(x) !:itHu~Al~ tanu(x) = tanv(x) t!:i~ '1
u
hl~Al~ cotu(x) = cotv(x)~u(x) = v(x)+bt, kEZt!:iru uab vctlH2R1H~'ls X '1
I

Jt Jt
~ 2x + - = - + kn , kEZ '1
3 6
Jt kn
!:i m 2 g 2x = ~ - ~ + bt ~ x=
u 6 3 12 + 2 ' k E z '1
""
&tngLhflli5hl~Ala 2(cot2x-cot3x) = tan2x+cot3x '1

&RQlS 2( cot2x- cot3x) = tan2x + cot3x

(cos2x _ cos3x) = sin2x + cos3x
2
sin2x sin3x cos2x sin3x
(sin3xcos2x- sin2xcos3x) = sin3xsin2x + cos3xcos2x
2
sin2xsin3x sin3xcos2x
2sinx cosx
~--~- = ~------
sin2xsin3x sin3xcos2x
2sinxcos2x- sin2xcosx =
0
sin2xsin3xcosx
2
2sinx(cos2x- cos x) .
. . ~ smx = 0 '1
sm2xsm3xcosx

1
n. cotx =-- 2. cot3x = J3
J3

R. cot(~- 3) = -1 ill. 3 cotx - J3 = 0 '1