Page 85 - Math Grade 11 (Basic)
P. 85
PROEUS DARA
C( I tt::::), (;f I J
H2f:i'i:Hln~M~ShHS?ll:Hlnn~hl~'i:fi82'U rr tumg 'ilxE R , 'ilxEZ ,
I 1 U 1.1
tan +rr) = tanx il§j tan(x+krr) = tanx sh cot(x+rr) = cotx i12J
cot(x+krr) = cotx '1 ctl9t9iHS?l'i§S y = tanax sh v = cotax 'i:fl82tl T = ~ '1
u 1 · u ial
"' 1 , 2rr 2rr
SintniM y = sin-x 'i:fiS?,'U T = 8rr , v = cos(-3x) 'i:fi22'U T = - = -
2 H • 1.J l-31 3
"' l
H91'11§8 y = 3tan x 'i:fiS~'U T = 2rr , y = cot5x 'i:fi8~'U T = ~ '1
2
Ll'11hED , -xED , f(-x) = f(x)
cl f!} 0 t r;t C) •
- f ctlH9?l'i§S'i:fiStt!SnillH'i D '1 f ctlH9l'l'i§Sttutu~purHnLI'l'U xED , -xED,
f(-x) = -f(x)
C) 0 I I ':I Q)
y = x-sinx 'i:fiStt!SnCUln D = R '1 Ln'Unt~ xED , -xED t'UHi1
"'
f(-x) = x- sin(-x) = -(x- sinx) = -f(x) '1 ~msg y = x sinx ctlHf:j?l'i§Sthlhl '1
{ kn} · "
.,
3
•
o
y = tanxcofx 'i:fiStt!SnCUln D = R kEZ l3'Unt~ xED , -xED
2
3
tffiru f(-x) = tan(-x)cot -(x) = tanOcot\-x) = tanxcot\ = f(x) '1
tltH S g y = tanxcot\
u
- UfiltitSH 8 n'i§S t to hl'i:fiS 1'1 rnn'i'i§liJctltlntig '1
w
1 ~ w
1 I
~ el tJ tJ
- LflltltSH 9 n'i§S~'tflSHnJHH 1:t1 tsctlHnJ~g '1
I
0 I ef 0 I 0 I
IHHlJH'i: y = sinx ctlH91'1'i§S nCUl&itHmgLn'U xER '1
2U : ctlHSn'i§S2'U ttl ru'tf1S2'U p = 2rr tf:tl ru sin(x + 2rr) = sinx nlih Mnn
1.J 1 1.1 1.1 li'
ct Cl1 t::l) '1:> ct t::.)J
HSI'l'i§S y = sinx tru [-rr, rr] t'Ul115UflltltSHSn'i§S y = sinx trutHS'U
1 I ~
0.:::::. eJ Q) 0 eJ
[(2k-l):n:, (2k+ l):n:] QlStf:tlrumrummru [-:n:, rr] G~s 2rr fi1'i§HnJ (x'x) '1
80