94 ba i ta p Lu o ng gia c e thi a i ho c THPT Quo c gia - Pdf 45

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94 BÀI T P L

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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)

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

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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

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)

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

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


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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)
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