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Khóa Luyện Giải Bài Tập Môn Toán
Hotline: 0964.946.876 Page 1
CHUYÊN ĐỀ T02: PHƯƠNG TRÌNH
LƯỢNG GIÁC.
T02 001 – Giải phương trình sau:
2cosx 1 2sinx cosx sin2x sinx
T02 002 - Giải phương trình sau:
sinx cosx 1 sin2x cos2x 0
sinx 1 cos2x sin2x 1 cosx
1 1 7
4sin x
sin x 43
sin x
2
3 x 1 3x
sin sin
10 2 2 10 2
3
8cos x cos3x
3
2 2 2 3
sin x sin 2x sin 3x
2
2 2 2 2
sin x sin 3x cos 2x cos 4x
sin2 25x 9x
cos3x sin7x 2 2cos
4 2 2
3 3 3
sin xcos3x cos xsin3x sin 4x
3 3 2
4sin x 3cos x 3sinx sin xcosx 0
3 3 2 3 2
cos3x cos x sin3x sin x
8
1
cos x cos2x cos4x cos8x
16
sin2x 2cosx sin x 1
0
tan x 3
2 2 2x x
sin tan x cos 0
2 4 2
1
2tan x cot2x 2sin2x
2sin2x
2 2 2 2
tan x.cot 2x.cot3x tan x cot 2x cot3x
x
cotx sin x 1 tan x tan 4
2
2
x x
sin cos 3 cos x 2
2 2
1 2sin x cos x
3
1 2sin x 1 sin x
3
sin x cosxsin2x 3 cos3x 2 cos4x sin x
3
3sin3x 3 cos9x 1 4sin 3x
3 cos5x 2sin3xcos2x sinx 0
9sinx 6cosx 3sin2x cos2x 8

Hotline: 0964.946.876 Page 2
sin2x cos2x 3sinx cosx 2
4 4
4 sin x cos x 3 sin4x 2
3 3
4sin xcos3x 4cos xsin3x 3 3 cos4x 3
2cosx 1 sinx cosx 1
2cos3x 3 sinx cosx 0
2
cosx 3 sin x
cosx 3 sin x 1
cos7xcos5x 3 sin2x 1 sin7xsin5x
sin x sin2x
3
cos x cos2x
2
cosx sin2x
3
2cos x sin x 1
3
3sin5x 3 cos15x 1 4sin 5x
cos2x 3 sin2x 3 sinx cosx 4 0
2 2x 3
4sin 3 cos2x 1 2cos x
2 4
3
4sin x 1 3sinx 3 cos3x
3 3 3
sin x cos x 1 sin2x
2
2 sin x cosx tan x cotx
3 cotx cosx 5 tanx sinx 2
2 3 3
tan x 1 sin x cos x 1 0
2sinx cotx 2sin2x 1
2 2
3tan x 4tanx 4cotx 3cot x 2 0
2
2
2
2tan x 5tan x 5cotx 4 0
sin x
2
2
1 5
cot x tan x cotx 2 0
2cos x
cos2x 5 2 2 cosx sinx cosx
1 tanx sinx cosx
cos2x 5 2 2 cosx sinx cosx
1 1 10
cosx sin x
cosx sin x 3
sin3x cos3x 2 sinx cosx 1
2 2
tan x cot x 3 tanx cotx 6
sinx 3 cosx sinx 3 cosx 2
2 2
4cos x 3tan x 4 3 cosx 2 3 tanx 4 0
2
cos2x cos4x 6 2sin3x

Hotline: 0964.946.876 Page 3
4 4 7
sin x cos x cot x cot x
8 3 6
2
1 sin2x cos2x
2 sin x sin2x
1 cot x
2 2 2x x
sin tan x cos 0
2 4 2
sinx cosx 2 2 sinxcosx
1
sin x tan x cosx
cosx
1
4sin x 3cosx 4 1 tan x
cosx
2 2
cos x 3 sin2x 1 sin x
sin2x 2tanx 3
T02063 - Giải phương trình sau:
3
sinxsin2x sin3x 6cos x
sin3x cos3x 2cosx 0
3 2
cos x sinx 3sin xcosx 0
1
3 sin x cosx
cosx
x
2 cosx 2tan
2
7
sin3x cos3x 2sin x 0
2
3
sin x 2 sin x
4
cosx cos2x cos3x cos4x 0
2 2 2
sin x sin 2x sin 3x 2
2 2 2 2
sin 3x cos 4x sin 5x cos 6x
sin2 25x 9x
cos3x sin7x 2 2cos
4 2 2
cos3x tan5x sin7x
2 2 17
sin 2x cos 8x sin 10x
2
2 x
2 3 cos x 2sin
2 4
1
2cos x 1
2 2
sin 4x cos 6x sin 10,5 10x , 0;
2
2 x
tan x cosx cos x sin x 1 tan tan x
2
2
cos4x 12sin x 1 0
T02 080- Giải phương trình sau:
cos3x sin3x
5 sin x 3 cos2x
1 2sin2x
4 4 3
cos x sin x cos x sin 3x 0
4 4 2
2
sin2x 3 cos2x 5 cos 2x
6
T02 083 – Giải phương trình sau: T02 084 - Giải phương trình sau:

Hotline: 0964.946.876 Page 4
6 6
2 cos x sin x sin x cos x
0
2 2sin x
2
2
1 1
4 sin x 4 sin x 7 0
sin xsin x
2
2
1 1
cos x 2 cos x 1
cos xcos x
6 6
2 2
sin x cos x 1
tan2x
4cos x sin x
2 2 2 2 3
cos x cos 2x cos 3x cos 4x
2
2 2
tan x cot x 2 1 tanx cotx 0

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