[r]
(1)Bài tập phương trình lượng giác
4
6
3
2 1, sin cos
cos 2,(1 cos )(1 sin )
3,sin 2cos sin 4cos sin cos
4, (tan cot )
sin 2 5,sin 2 tan
6,8 cos 2 sin sin cos 7,cos sin sin sin cos
8,sin cos 2sin 4si
x x
x
x x
x x x x
x x
x x
x
x x
x x x x
x x x x x
x x x
n (2 )
4 9, sin cos cos sin
10,sin(3 ) sin sin( )
4
x
x x x x
x x x
2 2
11, tan cot cot tan cot cot 12,cos sin cos
13,sin 2cos 2 14,sin sin sin 15,cos 3cos
16,1 3cos cos cos3 2sin sin 17, tan tan sin cos
18, tan cot 2(sin cos ) 19
x x x x x x
x x x
x x
x x x
x x
x x x x x
x x x x
x x x x
4 4
3
3
, 2(sin cos ) cos cos 20,sin sin ( ) sin ( )
4
sin
21, 2cos
1 sin
22,cos sin 3sin cos 23, 2sin cos sin
24, cos cos
x x x x
x x x
x
x x
x x x x
x x x
x x
25,sin cos 2sin 2cos
26,sin (cos 2sin ) cos3 (1 sin 2cos3 )
x x x x
x x x x x x
27, cho pt:
3
5 4sin( ) 6
sin
x m
x m
a, giải pt với m = -1 b, tìm m để pt có nghiệm
3
2 3(1 sin )
28,3tan tan 8cos ( )
cos
x x
x x
x
(2)29, giải và biện luận pt:
2
2 (cos sin ) cos sin
m x x m x x
30, tìm nghiệm của pt thỏa mãn:
2
5 x
cos 7x sin 7x
2 2
2
2
1 31,cos cos cos cos8
16 32,sin sin cos cos
33,cos sin sin cos 34, cos cos tan
35,3cot 2 sin (2 3) cos 36, tan sin cos 2(2 cos )
cos 37, 4(sin cos ) 5sin
38, 2co
x x x x
x x x x
x x x x
x x x
x x x
x x x x
x
x x x
2
2
2
4
6
3
s sin cos sin cos 2(sin cos ) 39, tan sin 2sin 3(cos sin cos )
40,sin (cot tan ) 4cos
1
41, 48 (1 cot cot ) cos sin
42,sin cos cos
43,cos cos 2sin 44, cos tan
2 45,sin
x x x x x x x
x x x x x x
x x x x
x x
x x
x x x
x x x
x x
3 3
2 4
sin sin 46,cot tan sin cos 47,sin cos 2sin cos
1 48, 2cos 8cos
cos
1 49,cos3 cos sin sin cos
4 50,9sin 6cos 3sin cos
51,sin sin sin sin cos cos cos cos 52
x x x
x x x x
x x x x
x x
x
x x x x x
x x x x
x x x x x x x x
3 3
8 10 10
2
,sin cos3 cos sin sin 53,sin cos 2(sin cos ) cos
4 54, 2sin sin cos cos
x x x x x
x x x x x
x x x x m
(3)4
3
2
2 2
3
sin cos
55,
sin cos
56,1 cos sin sin
57, sin sin sin cos 58, cos cos cos cos
2 59, cos cos cos3 cos
1
60,sin sin sin
3
61,3sin 2cos 3tan 62,8cos ( ) cos3
3
x x
x x
x x x
x x x x
x x x x
x x x x
x x x
x x x
x
3
3
63, 4sin sin cos 3sin 3cos 64, 4sin sin cos
1 10
65,cos sin
cos sin
x
x x x x x
x x x
x x
x x
66, tìm nghiệm 0;2 :
cos3 sin
5(sin ) cos
1 2sin
x x
x x
x
(4)2 2 2 4 2 6 4
1
67,
cos sin sin
68,sin cos cos (tan tan )
(1 cos ) (1 cos ) sin
69, tan sin tan
4(1 sin )
1 3(sin cos 1)
70,3sin sin 2cos
2 sin cos
sin cos
71, cos
tan( ) tan( )
4
x x x
x x x x x
x x x
x x x
x
x x
x x x
x x x x x x 4 4
1 cos sin 72,
2sin cos
5sin cos 73,6sin 2cos
2cos sin sin sin
74,
cos cos cos3
1 2sin sin sin
75,
2sin cos
76,sin cos cot( ) cot( )
8
77,cos sin sin
2 78,si x x x x x x x x x x
x x x
x x x
x x x
x x
x x x x
x x x 8 3 6
3 5
3
2 2
17 n cos
32
79, 2sin sin 2cos cos cos 80,sin cos cos
81,sin cos 2(sin cos ) 82, tan 5cot tan
1 83, tan cot 2sin
sin 84, (1 sin ) tan cos 85, tan cot cot tan cot
x x
x x x x x
x x x
x x x x
x x x
x x x
x
x x x
x x x x
2 2
2
2
2 2
2 cot
86,3tan cot 2 tan
sin 87,1 3sin 2 tan
88, (cos sin )sin 2cos cos 89,sin cos cos
90,1 sin sin sin cos 2cos ( )
2
21 91,sin cos sin(10 )
2 92,sin sin sin 93
x x
x x x
x
x x
x x x x x
x x x
x x x
x x
x x x
x x x
2 2
3
3
2
4
5
,sin cos sin cos 94, cos cos sin
95,sin cos cos 96, 2sin cot 2sin 97,cos sin cos
98, 2sin cos 7sin 2cos 99, cos cos 2sin
1
100,cos sin (cos sin )sin 2
x x x x
x x x
x x x
x x x
x x x
x x x x
x x x
x x x x
3 2 cos sin cos 101, tan sin
102,cos cos 2sin 103,sin cos sin
3
104,cos cos cos sin sin sin
2 2 2
x x x
x x
x
x x x
x x x
x x x x
(5)3
2
4
5
3
3
3
95,sin cos cos 96, 2sin cot 2sin 97,cos sin cos
98, 2sin cos 7sin 2cos 99, cos cos 2sin
1
100,cos sin (cos sin )sin cos sin
1 cos 101, tan
1 sin 102,cos cos
x x x
x x x
x x x
x x x x
x x x
x x x x x x x
x x
x
x x
2
2sin 103,sin cos sin
3
104,cos cos cos sin sin sin
2 2 2
x
x x x
x x x x
x x