94 ba i ta p Lu o ng gia c e thi a i ho c THPT Quo c gia

GIÁO VIÊN BIÊN SO N: NGUY N H NG

94 BÀI T P L

THPT A PHÚC

NG GIÁC

1.T×m nghiÖm thuéc kho¶ng (0;2 ):
cos 3 x sin 3 x
5(sin x
) cos 2 x 3
1 2sin 2 x
2.sin 2 3 x cos 2 4 x sin 2 5 x cos 2 6 x
2
3.cot x tan x 4sin 2 x
sin 2 x
4. <§H B 2005>
1 sin x cos x sin 2 x cos 2 x 0
x
5. <§H B 2006> cot x sin x(1 tan x tan ) 4
2
2
6. <§H B 2007> 2sin 2 x sin 7 x 1 sin x
7. <§H B 2008>
sin 3 x
3 cos3 x sin x cos 2 x
3 sin 2 x cos x
8. <§H B 2009>
sin x cos x sin 2 x
3 cos 3 x 2(cos 4 x sin 3 x)

9. <§H B 2010>
(sin 2 x cos 2 x) cos x 2 cos 2 x sin x 0
10. <§H B 2011>
sin 2 x cos x sin x cos x cos 2 x sin x cos x
11. <§H D 2002> T×m x thuéc 0;14 nghiÖm ®óng
ph­¬ng tr×nh: cos 3 x 4 cos 2 x 3cos x 4 0
x
x
12. <§H D 2003> sin 2 (
) tan 2 x cos 2
0
2 4
2
13. <§H D 2004>
(2 cos x 1)(2sin x cos x) sin 2 x sin x
14. <§H D 2005>
3
cos 4 x sin 4 x cos( x
) sin(3 x
)
0
4
4 2
15. <§H D 2006> cos 3 x cos 2 x cos x 1 0
18. <§H D 2008>
3
cos 4 x sin 4 x cos( x
) sin(3 x
)
0

4
4 2
17. <§H D 2009> 3 cos 5 x 2sin 3 x cos 2 x sin x 0
18. <§H D 2010> sin 2 x cos 2 x 3sin x cos x 1 0
sin 2 x 2 cos x sin x 1
19. <§H D 2011>
0
tan x
3
cos 2 x
1
20. <§H A 2003> cot x 1
sin 2 x
sin 2 x
1 tan x
2
21. <§H A 2005> cos 2 3 x cos 2 x cos 2 x 0
22. <§H A 2006>
2(cos 6 x sin 6 x) sin x cos x
0
2 2sin x

ÔN THI THPT QU C GIA 2017

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THI

I H C THPT QU C GIA

23. <§H A 2007>
(1 sin 2 x) cos x (1 cos 2 x) sin x 1 sin 2 x
1
1
7
24. <§H A 2008>
4sin(
x)
sin x sin( x 3 )
4
2
3 cos 3 x 2sin 2 x
25. <C§ A 2008> sin 3 x
(1 2sin x) cos x
26. <§H A 2009>
3
(1 2sin x)(1 sin x)
27. <C§ A 2009> (1 2sin x) 2 cos x 1 sin x cos x

(1 sin x cos 2 x) sin( x
28. <§H A 2010>

4

)

1
cos x
2

1 tan x

29. <C§ A 2010>
5x
3x
4 cos cos
2(8sin x 1) cos x 5
2
2
1 sin 2 x cos 2 x
30. <§H A 2011>
2 sin x sin 2 x
1 cot 2 x
31. <C§ A 2011> cos 4 x 12sin 2 x 1 0
32a. <§H A-A1 2012> 3 sin 2 x cos 2 x 2 cos x 1
32b. <§H B 2012>
2 cos x
3 sin x cos x cos x
3 sin x 1
32c. <§H D 2012>
sin 3 x cos 3 x sin x cos x
33. <DB§H A 2002>

2 cos 2 x

x
tan x cos x cos 2 x sin x(1 tan x tan )
2
(2 sin 2 2 x) sin 3 x
4

34. <DB§H B 2002> tan x 1
cos 4 x
35. <DB§H B 2002>
sin 4 x cos 4 x 1
1
cot 2 x
5sin 2 x
2
8sin 2 x
36. <§H A 2014> sin x 4 cos x 2 sin 2 x
37. <DB§H A 2002> T×m m ®Ó pt cã Ýt nhÊt 1 nghiÖm
thuéc

0;

: 2(sin 4 x cos 4 x) cos 4 x 2sin 2 x m 0

2
38. <DB§H A 2003> cos 2 x cos x(2 tan 2 x 1) 2
39. <DB§H A 2003> 3 tan x(tan x 2sin x) 6 cos x 0
40. <DB§H B 2003> 3cos 4 x 8cos 6 x 2 cos 2 x 3 0
x
(2
3) cos x 2sin 2 (
)
2 4 1
41. <DB§H B 2003>
2 cos x 1
L

NG GIÁC

1


GIÁO VIÊN BIÊN SO N: NGUY N H NG

THPT A PHÚC

cos 2 x(cos x 1)
2(1 sin x)
sin x cos x
2 cos 4 x
43. <DB§H D 2003> cot x tan x
sin 2 x
42. <DB§H D 2003>

3

3

44. <DB§H A 2004> 4(sin x cos x) cos x 3sin x
45. <DB§H B 2004> sin 4 x sin 7 x cos 3 x cos 6 x
1
1
46. <DB§H B 2004> 2 2 cos( x
)
4 sin x cos x
47. <DB§H D 2004> sin x sin 2 x
3(cos x cos 2 x)

3
sin x
48. <DB§H A 2005> tan(
2
x)
2
1 cos x
49. <DB§H B 2005>
3
x
4sin 2
3 cos 2 x 1 2 cos 2 ( x
)
2
4
50. <DB§H D 2005>
sin x cos 2 x cos 2 x(tan 2 x 1) 2sin 3 x 0
51. <DB§H A 2006>
2 3 3
cos3x cos3 x sin 3x sin 3 x
8
52. <DB§H A 2006> 2sin(2 x

6

) 4sin x 1 0

53. <DB§H B 2006>
(2sin 2 x 1) tan 2 2 x 3(2 cos 2 x 1) 0
54. <DB§H B 2006>

cos 2 x (1 2 cos x)(sin x cos x) 0
55. <DB§H D 2006> sin 3 x cos3 x 2sin 2 x 1
56. <DB§H D 2006>
4sin 3 x 4sin 2 x 3sin 2 x 6 cos x 0
x
57.sin 2 x cos 2 x sin x 2 cos 2
0
2
58.sin 2 3 x cos 2 4 x sin 2 5 x cos 2 6 x

65. <§HQG HN 1998> 2 tan x cot 2 x

2sin 2 x

sin 2 4 x cos 2 6 x sin(10,5

2(2 sin 2 x)

10 x)( x

0;

2

)

3
cos x
3 sin x 1
70.(2sin x 1)(3cos 4 x 2sin x 4) 4 cos 2 x 3

69.cos x

3 sin x 3

71.cos 3 x sin 2 x
72.2sin 2 x cos 2 x

3(cos 2 x sin 3 x)
7 sin x 2 cos x 4

3
sin 2 x
2
74.sin x sin 2 x sin 3 x sin 4 x
73.1 sin 3 x cos3 x

cos x cos 2 x cos3 x cos 4 x
75.cos 2 x cos3 x 2sin x 2 0
76.2sin 3 x cos 2 x cos x 0
77.cot x tan x sin x cos x
78.2 cos3 x cos 2 x sin x 0
1
79.tan x 1 2sin x
cos x
80.sin x cos x 7 sin 2 x 1
2(sin x cos x)

82.sin 2 x 2 2(sin x cos x) 5 0
83.4sin 2 x 3cos 2 x 3(4sin x 1)

84.

sin 4 2 x cos 4 2 x

cos 4 2 x

tan(

x) tan(
x)
4
4
85.3(tan x cot x) 2(2 sin 2 x)
86.3 4 cos 2 x sin x(2sin x 1)
87.3cos 4 x 2 cos 2 3 x 1

88. < §H A-A1 2013> 1 tan x

2 2 sin( x

4

)

89. < §H B 2013> sin 5 x 2 cos 2 x 1

61.2 2 sin( x

sin x cos x

67. <§H D 1999> 3(tan x cot x)
68. <§H D 1999>

81.tan x cot x

1
1
59.sin 2 x sin x
2 cot 2 x
sin 2 x 2sin x
x
5x
3x
60.sin(
) cos(
)
2 cos
2 4
2 4
2
) cos x 1
12
sin 2 x cos 2 x
62.
tan x cot x
cos x
sin x
63.(1 tan x)(1 sin 2 x) 1 tan x
64. <§HQG HN 1997> sin x cos x

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90. < §H D 2013> sin 3 x cos 2 x sin x 0
91. < §H B 2014> 2(sin x 2 cos x) 2 sin 2 x
92. <THPTQG 2015> TÝnh:
2
P (1 3cos 2 )(2 3cos 2 ) biÕt sin
3
2
94. <THPTQG 2016> 2sin x 7 sin x 4 0

1
sin 2 x

66. <§H D 1998> 3 4 cos 2 x sin x(2sin x 1)
ÔN THI THPT QU C GIA 2017

L

NG GIÁC

2