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(1)PHƯƠNG TRÌNH LƯỢNG GIÁC TRONG CÁC ĐỀ THI ĐH-CĐ VÀ DỰ BỊ ĐH TỪ 2002-2010
02:Tìm nghiệm thuộc khoảng (0;2 ) cña PT:5 3
cos3x sin3x
sinx cos2x
1 2sin2x B02: GPT: sin 3x cos 4x sin 5x cos 6x.2 2 2 2
D02: Tìm nghiệm thuộc [0;14] PT: cos3 4cos 3cosx x x 4 DB1: Tìm m pt có nghiệm thuộc[0;/2]:
2 sin x cos 4xcos 4x2 sin 2x m 0 DB2: GPT: sin4 cos4 1cot 2 1
5sin 2 2 8sin 2
x x x
x x
DB3: GPT:
2
2 sin 2x sin 3x 4
tan x 1 4
cos x
DB4: GPT: tan x cos x cos x sin x tan x tan2 x
DB5: Cho PT: 2sin x cos x a sin x 2cos x
(2) (a lµ tham sè).
a) GPT (2) a=1/3 b) Tìm a để PT (2) có nghiệm. DB6: GPT: sin x
2 8cos x
C§-A02: GPT 4sin 2x 6sin x 3cos 2x2 cos x
A03: GPT: cot x cos 2x sin x2 1sin 2x
1 tan x
B03: GPT: cot x tan x sin 2x sin 2x
D03: GPT sin2 x tan x cos2 x 2
DB1: GPT: cos 2x cos x tan x 1 2 DB2: GPT: 3cos 4x 8cos x 2cos x 0 DB3: GPT:
x 2 cos x 2sin
2 1. 2cos x
DB4: GPT cos x cos x 12 2 sin x sin x cos x
DB5: GPT cot x tan x 2cos 4x sin 2x
C§03: GPT: 3cos x 1 sin x cos2x sin x sin x 1 B04: GPT 5 sin x 2 3 sin x tan x. D04: GPT 2cos x 2sin x cos x sin 2x sin x.
C§04: GPT: cos3x 2cos 2x 2sin x sin 2x C§SPHP-04: GPT: cos x cos x cos x
3
(2)C§-04: GPT: cos x sin x cos 2x 2cos x sin x cos x 12 C§-04: GPT: sin 4x.sin 2x sin 9x.sin 3x cos x
C§-A-05: GPT: cos 3x cos 2x cos x 0.2 B-05: GPT 1 sin x cos x sin 2x cos 2x 0
D-05: GPT: cos x sin x cos x4 sin 3x
4
A-05: GPT: cos23x.cos2x-cos2x = 0 A-06: GPT: 2 sin cos6 -sin cos 0
2-2sin
x x x x
x
B-06: GPT: cot sin tan tan
x
x x x
D-06: GPT: cos3x+cos2x-cosx-1=0
2
A07: GPT: (1 sin ) cos (1 cos ) sin sin 2
B07: GPT: 2sin sin sin
D07: GPT: sin cos cos
2
x x x x x
x x x
x x
x
A08: GPT
1 1 7
4sin .
3
sin 4
sin 2
x x
x
B08: GPT sin3x 3 cos3xsin cosx 2x 3 sin2xcos x D08: GPT 2 sin (1 cos ) sin 2x x x 1 cos x
A09: GPT (1 2sin ) cos 3
(1 2sin )(1 sinx)
x x
x
.
B09: GPT sinx cos sin 2x x 3 os3c x 2( os4c x sin ).3x
D09: GPT 3 os5c x 2sin cos 2x x sinx 0. CĐ09: GPT (1 2sin ) cosx x 1 sinx cos x
A10: GPT (1 sinx os2 )sin 4 1 cos
1 t anx 2
c x x
x
B10: GPT (sin 2x c os2 ) cosx x2 cos 2x s inx 0.
D10: GPT sin 2x c os2x3sinx cosx1 0.
CĐ10: GPT 4cos5 os3 2(8sin 1) cos 5.
2 2
x x