phuong trinh luong giac

Phương trình lượng giác tiếp:
Baì1, gpt:1,
2 2
3sin 8sin cos 4cos 0x x x x+ + =
; 4,
2 2
5sin 3 sin os x +6cos 5x xc x+ =
2,
2 2
4sin 3 3 sin 2 2cos 4x x x+ − =
; 5,
2 2
2sin 4sin osx -4cos 1 0x xc x+ − =
3,
2 2
3 cos 2sin cos 3 sin 2 0x x x x+ − − =
6,
2 2
4cos 6sin 5sin 2 4 0x x x− + − =
Bµi 2:t×m m ®Ó c¸c pt sau cã nghiÖm:
1,
2 2
cos 2sin cos sinx x x x m+ − =
3,
2 2
5cos 2 3 sin cos 3sinx x x x m− + =
2,
2 2
4cos 3 sin 2 2sinx x x m− + =
Bµi3:gpt:1,
( )

3 sin cos 2sin cos 3 0x x x x+ + + =
3,
( )
2sin cos sin cos 1 0x x x x− + + =
2,
( )
( )
( )
1 2 sin cos 2sin cos 1 2 0x x x x+ + − − + =
, 4;
( )
2 sin cos sin cos 1x x x x+ − =
5,
( )
2sin 2 2 sin cos 1 0x x x− + + =
;6;
sin cos 2sin 2cos 2x x x x+ + =
;7,
1 tan 2 2 sinx x+ =

8;
2 3
sin cos 1 sin cos
3
x x x x+ = +
;9,
cos sin sin cos 1 0x x x x− − + =
; 12,
cos sin 1x x+ =

10,
( )
6 cos sin sin cos 6 0x x x x− + + =
;11,
3 3
2
sin cos
2
x x+ =
; 16,
( )
3 tan cot 1x x+ =
13,
3 3
1
sin cos 1 sin 2
2
x x x+ = −
; 14,
( )
2 sin cos tan cotx x x x+ = +
; 15,
sin cos 4sin 2 1x x x− + =

Bµi 4:gpt:
1,
2 2 2 2
cos cos 2 cos 3 cos 4 2x x x x+ + + =
, 2;
2 2 2 2

sin sin 2 sin 3 sin 4 2x x x x+ + + =
3,
2 2 2 2
sin 3 cos 4 sin 5 cos 6x x x x− = −
;4;
2 2 2
sin cos 2 cos 3x x x= +
;5,
2 2 2
sin 3 sin 2 sin 0x x x− − =
; 6,
6;
2 2 2
3
sin sin 2 sin 3
2
x x x+ + =
;7,
2 2 2
3
cos cos 2 cos 3
2
x x x+ + =
; 8,
2 2 2
cos cos 2 cos 3 1x x x+ + =
9;
2 2 2 2
3
cos cos 2 cos 3 cos 4

2
x x x x+ + + =
; 10,
2 2
17
sin 2 cos 8 sin 10
2
x x x
π
 
− = +
 ÷
 
11,
( )
2 2
sin 4 cos 6 sin 10,5 10x x x
π
− = +
; 12,
2 2
5 9
cos3 sin 7 2sin 2cos
4 2 2
x x
x x
π
 
+ = + −
 ÷

 
13,
4 4
1
sin cos
4 4
x x
π
 
+ + =
 ÷
 
; 14,
2 2 2 2
sin sin 3 cos 2 cos 4x x x x+ = +
15,
4 4
3
sin cos
4
x x+ =
; 16,
( )
2 2 2
2cos 2cos 2 2cos 3 3 cos4 2sin 2 1x x x x x+ + − = +
17;,
2
sin 5 sin 2sin 1x x x+ + =
; 18,
sin sin 2 sin 3 cos cos 2 cos3x x x x x x

+ + = + +
19,
sin sin 2 sin 3 0x x x+ + =
; 20,
sin sin 2 sin 3 sin 4 0x x x x+ + + =
22,
cos cos 2 cos3 0x x x+ + =
; 23:
cos cos 2 cos3 cos4 0x x x x+ + + =
24;
4 4
sin cos cos 2x x x+ =
; 25:
6 6
7
sin cos
16
x x+ =
; 26:
6 6 2
1
sin cos sin 2
4
x x x+ =
27;
6 6
sin cos cos4x x x+ =
; 28:
( )
6 6

16 sin cos 1 3sin 6 0x x+ − + =
28:
4 4
sin cos 1 sin
2 2
x x
x+ = −
; 29;
6 6
sin cos sin 2x x x+ =
; 3o;
4 4
1
sin cos sin 2
2
x x x+ = −
31;
sin sin 2 sin 3 1 cos cos 2x x x x x+ + = + +
; 32:
1 cos cos 2 cos3 0x x x+ + + =
33:
sin 3 sin sin 2 0x x x
− + =
; 34:
( ) ( )
2
2sin 1 2sin 2 1 3 4cosx x x− + = −
35:
( )
cos sin sin cos cos cos2x x x x x x− =

;36:
3 3
cos sin sin cosx x x x− = −
; 37:
3 3
cos sin sin cosx x x x+ = −
38,
2 3
cos sin cos 0x x x+ + =
; 39:
3 2
cos cos 2sin 2 0x x x+ + − =
; 40:
2 3
sin sin cos 0x x x+ + =