Page 71 - Math Grade 11 (Advance)
P. 71
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4. @)~~ffliifi~ffl~~5Ji
4.1 'lrutrmiii:HUtnBnil acosx + bsinx > c
or
!J£n11UfU1.1 tf:hg'Lnnru~M'i:3fil~ sinx-cosx>O '1
t~Ql8 J2(fsinx-fcosx) >0, J2(sinxcos~-sin~cosx) >0, ./2sin(x-~) >0 '1
sin(x- :n:-) > 0 Hi1St!UtltH si truns g H~iH'L:l rn'i§ StHi
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L:lmsg1 fU-@filansud§ru 2k:n: < x- ~ < :n: + 2k:n: 0
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'i5 - + 2kn < x < - + 2k:n: (k E Z) '1
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y_~hl'i:3fil~~tLn9 2 t~u;ltt~HLnnru~nwruiyfUtmrutlinJlfUCJJl '1
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2
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tt:iHUW1115~fU-@fil~ sinx+-.-2:~ '1
smx
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2
t~'i:ll8 sinx + -.-;;:: ~ , sinx + -.-- ~;;:: 0
smx smx 2
2
2 sin x- 5 sinx + 2
. 2: 0
2 smx
2
(sinx-~)~ sinx-l);;::O tf:hru sinx-2<0 t1tm·'i~U EIR
smx o G x
t~QlS2sin~-lsO (1)
2smx
~fi5{§fila'i:ll8Ut-@rurnguff1tg) sinx;eO 'i5 x;ek:n; '1
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ffltl sinx =X tL:lrn -1 sXs 1 ~fU'i§fil~ (I) widl 2X -1 O MnJlfU'Jr t~ms
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y
1 B
X -1 0 1 - -
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2X -1 - - ) + 1
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66