Luong giac thi CD-DH 2002-2010 pdf

Tuyển tập Phơng trình lợng giác trong đề thi ĐH-CĐ (2002-2010)

1 A02:Tìm no thuộc (0;2π ) của PT:5 ữ 3

+ +cosx sin3x+ = +

1 2sin2x

2 B02: GPT: sin 3x cos 4x sin 5x cos 6x.2 − 2 = 2 − 2

3 D02: Tìm no thuộc [0;14] của PT: cos3 4cos2 3cosx− x+ x− = 4 0.

4 DB1: Xđ m để PT sau có ít nhất một no thuộc đoạn [0;π/2]:

5 2 sin x cos( 4 + 4x)+cos 4x+2 sin 2x m− =0

6 DB2: GPT: sin4 cos4 1cot 2 1

5sin 2 2 8sin 2

7 DB3: GPT: (2 sin 2x sin 3x2 )

4

cos x

− + =

8 DB4: GPT: tan x cos x cos x sin x 1 tan x tan2 x

2

9 DB5: Cho PT: 2sin x cos x 1 a

sin x 2cos x 3

− + (2) (a là tham số) a) GPT (2) khi a=1/3 b) Tìm a để PT (2) có nghiệm

10 DB6: GPT 1 sin x

2 8cos x =

11 CĐ-A02: GPT: sin cos x 1.(π )=

12 CĐ-A02: GPT 1 sin x cos x 0 + + =

13 CĐ-A02: GPT2cos 2x 8cos x 7 1 .

cos x

14 CĐ-A02: GPT 4sin 2x 6sin x 9 3cos 2x2 2 0.

cos x

+ − − =

15 A03: GPTcot x 1 cos 2x sin x2 1sin 2x.

1 tan x 2

16 B03: GPTcot x tan x 4 sin 2x 2 .

sin 2x

17 D03: GPTsin2 x tan x cos2 2 x 0.

2

2 4

π

18 DB1: GPT3 tan x tan x 2sin x − ( + )+ 6 cos x = 0

19 DB2: GPTcos 2x cos x 2tan x 1+ ( 2 − =) 2

20 DB3: GPT3cos 4x 8cos x 2cos x 3 0− 6 + 2 + =

21 DB4: GPT(2 3 cos x 2sin) 2 x

2 4 1.

2cos x 1

π

−

22 DB5: GPTcos x cos x 12 ( ) (2 1 sin x )

sin x cos x

−

= + +

23 DB6: GPTcot x tan x 2cos 4x.

sin 2x

24 CĐ03: GPT3cos x 1( − sin x cos 2x 2 sin x sin x 1)− = 2 −

25 B04: GPT5 sin x 2− =3 1 sin x tan x.( − ) 2

26 D04: GPT(2cos x 1 2sin x cos x sin 2x sin x − )( + )= −

27 ĐHĐDỡng-04:GPT: (2sin x 1 2cos x sin x sin 2x cos x − )( + )= −

28 CĐ04: GPTcos3x 2cos 2x 1 2sin x sin 2x + = −

29 CĐSPHP-04: GPT cos x cos x cos x

 + +  + =  + 

30 CĐMGTW1-04: GPT3cos 2x 4cos x cos3x 0.+ 3 − =

31 CĐMGTW1-04: GPT1 cos x cos 2x sin x sin 2x + − = +

32 CĐ-A-04: GPTsin x cos x sin x cos x.3 + 3 = −

33 CĐSP Bninh: GPT2 sin2 x 2 sin x tan x.2

4

π

34 CĐSP NB: 4cos x 2cos 2x 1 cos 4x2 − 2 = +

35 CĐSP HN: GPTcos x sin x sin x cos x.3 + 3 = −

36 CĐ GTVT-04: GPT: cos3x.sin 2x cos 4x.sin x 1sin 3x 1 cos x

2

37 CĐGTVTIII-04: GPT: (2sin x 1 2cos 2x 2sin x 3 4sin x 1.− )( + + =) 2 −

38 CĐKTKT-A-04: Gải phơng trình: cos x.cos7x cos3x.cos5x =

39 CĐ-A-04: GPTsin x sin 2x 3

cos x cos 2x

−

40 CĐKTKT TB-04: GPTsin x sin 2x sin 3x 0 + + =

41 CĐCN IV-04: GPT 3 cos 4x sin 4x 2cos3x 0 + − =

42 CĐXD-A-04: Cho phơng trình: cos x sin x62 62 m tan 2x

cos x sin x

+

=

43 a) GPT khi m=13/8 b) Định m để PT (1) vô nghiệm

44 CĐ-04: GPTcos xsin x cos 2x 2cos x sin x cos x 12 4 + = ( + )−

45 CĐ-04: GPTsin 4x.sin 2x sin 9x.sin 3x cos x+ = 2

46 CĐ-A-05: GPTcos 3x cos 2x cos x 0.2 − 2 =

47 B-05: GPT1 sin x cos x sin 2x cos 2x 0 + + + + =

48 D-05: GPTcos x sin x cos x4 4 sin 3x 3 0

+ +  − ữ  − − =ữ

49 A-05: GPT: cos23x.cos2x-cos2x = 0

50 A-06: GPT: 2 sin( 6 cos6 ) sin cos

0

2 2sin

x

=

−

51 B-06: GPT: cot sin 1 tan tan 4

2

x

52 D-06: GPT: cos3x+cos2x-cosx-1=0

53

A07: GPT: (1 sin ) cos (1 cos ) sin 1 sin 2

2 B07: GPT: 2sin 2 sin 7 1 sin

2 D07: GPT: sin cos 3 cos 2

x

54 A08: GPT

3

2

x

π π

−

55 B08: GPT sin3x− 3 cos3x=sin cosx 2x− 3 sin2xcos x

56 D08: GPT 2 sin (1 cos 2 ) sin 2x + x + x= + 1 2 cos x

57 C§08: GPT sin 3x− 3 cos 3x=2 sin 2 x

58 A09: GPT (1 2sin ) cos 3

(1 2sin )(1 sinx)

x

sinx cos sin 2+ x x+ 3 os3c x=2( os4c x+sin ).x

60 D09: GPT 3 os5c x−2sin 3 cos 2x x−sinx 0.=

61 CĐ09: GPT (1 2sin ) cos+ x 2 x= +1 sinx cos + x

62 A10: GPT (1 sinx os2 )sin 4 1

cos

x

π

+

63 B10: GPT (sin 2x c+ os2 ) cosx x+2cos 2x−sinx 0.=

64 D10: GPT sin 2x c− os2x+3sinx−cosx− =1 0

65 CĐ10: GPT 4cos5 os3 2(8sin 1) cos 5