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Тригонометрические уравнения.
ВАРИАНТ 1

1. 2sin2 x – 5sin x – 7 = 0
2. 12sin2 x + 20cos x – 19 = 0
3. 3sin2 x + 14sin x cos x + 8cos2 x = 0
4. 7 tg x – 10ctg x + 9 = 0
5. 5sin 2x – 14cos2 x + 2 = 0
6. 9cos 2x – 4cos2 x = 11sin 2x + 9

ВАРИАНТ 2

1. 10cos2 x – 17cos x + 6 = 0
2. 2cos2 x + 5sin x + 5 = 0
3. 6sin2 x + 13sin x cos x + 2cos2 x = 0
4. 5 tg x – 4ctg x + 8 = 0
5. 6cos2 x + 13sin 2x = –10
6. 2sin2 x + 6sin 2x = 7(1 + cos 2x)

ВАРИАНТ 3

1. 3sin2 x – 7sin x + 4 = 0
2. 6sin2 x – 11cos x – 10 = 0
3. sin2 x + 5sin x cos x + 6cos2 x = 0
4. 4 tg x – 12ctg x + 13 = 0
5. 5 – 8cos2 x = sin 2x
6. 7sin 2x + 9cos 2x = –7

ВАРИАНТ 4

1. 10cos2 x + 17cos x + 6 = 0
2. 3cos2 x + 10sin x – 10 = 0
3. 2sin2 x + 9sin x cos x + 10cos2 x = 0
4. 3 tg x – 12ctg x + 5 = 0
5. 10sin2 x – 3sin 2x = 8
6. 11sin 2x – 6cos2 x + 8cos 2x = 8

ВАРИАНТ 5

1. 10sin2 x + 11sin x – 8 = 0
2. 4sin2 x – 11cos x – 11 = 0
3. 4sin2 x + 9sin x cos x + 2cos2 x = 0
4. 3 tg x – 8ctg x + 10 = 0
5. 3sin 2x + 8sin2 x = 7
6. 10sin2 x + 11sin 2x + 6cos 2x = –6

ВАРИАНТ 6

1. 3cos2 x – 10cos x + 7 = 0
2. 6cos2 x + 7sin x – 1 = 0
3. 3sin2 x + 10sin x cos x + 3cos2 x = 0
4. 6 tg x – 14ctg x + 5 = 0
5. 6sin2 x + 7sin 2x + 4 = 0
6. 7 = 7sin 2x – 9cos 2x

ВАРИАНТ 7

1. 6sin2 x – 7sin x – 5 = 0
2. 3sin2 x + 10cos x – 10 = 0
3. 2sin2 x + 11sin x cos x + 14cos2 x = 0
4. 3 tg x – 5ctg x + 14 = 0
5. 10sin2 x – sin 2x = 8cos2 x
6. 1 – 6cos2 x = 2sin 2x + cos 2x

ВАРИАНТ 8

1. 3cos2 x – 5cos x – 8 = 0
2. 8cos2 x – 14sin x + 1 = 0
3. 5sin2 x + 14sin x cos x + 8 cos2 x = 0
4. 2 tg x – 9ctg x + 3 = 0
5. sin2 x – 5cos2 x = 2sin 2x
6. 5cos 2x + 5 = 8sin 2x – 6sin2 x

ВАРИАНТ 9

1. 6sin2 x + 11sin x + 4 = 0
2. 4sin2 x – cos x + 1 = 0
3. 3sin2 x + 11sin x cos x + 6cos2 x = 0
4. 5 tg x – 8ctg x + 6 = 0
5. sin 2x + 1 = 4cos2 x
6. 14cos2 x + 3 = 3cos 2x – 10sin 2x

ВАРИАНТ 10

1. 4cos2 x + cos x – 5 = 0
2. 10cos2 x – 17sin x – 16 = 0
3. sin2 x + 6sin x cos x + 8 cos2 x = 0
4. 3 tg x – 6ctg x + 7 = 0
5. 2cos2 x – 11sin 2x = 12
6. 2sin2 x – 3sin 2x – 4cos 2x = 4

ВАРИАНТ 11

1. 10sin2 x – 17sin x + 6 = 0
2. 5sin2 x – 12cos x – 12 = 0
3. 2sin2 x + 5sin x cos x + 2cos2 x = 0
4. 7 tg x – 12ctg x + 8 = 0
5. 3 + sin 2x = 8cos2 x
6. 2sin 2x + 3cos 2x = –2

ВАРИАНТ 12

1. 2cos2 x – 5cos x – 7 = 0
2. 12cos2 x + 20sin x – 19 = 0
3. 5sin2 x + 12sin x cos x + 4cos2 x = 0
4. 2 tg x – 6ctg x + 11 = 0
5. 22sin2 x – 9sin 2x = 20
6. 14cos2 x – 2cos 2x = 9sin 2x – 2

ВАРИАНТ 13

1. 4sin2 x + sin x – 5 = 0
2. 6sin2 x + 7cos x – 1 = 0
3. 4sin2 x + 11sin x cos x + 6cos2 x = 0
4. 5 tg x – 6ctg x + 13 = 0
5. 3 – 4sin2 x = sin 2x
6. 10sin 2x + 3cos 2x = –3 – 14sin2 x

ВАРИАНТ 14

1. 8cos2 x – 10cos x – 7 = 0
2. 4cos2 x – sin x + 1 = 0
3. 3sin2 x + 10sin x cos x + 8cos2 x = 0
4. 2 tg x – 12ctg x + 5 = 0
5. 14sin2 x – 11sin 2x = 18
6. 2sin 2x – 3cos 2x = 2

ВАРИАНТ 15

1. 3sin2 x – 5sin x – 8 = 0
2. 10sin2 x + 17cos x – 16 = 0
3. sin2 x + 8sin x cos x + 12cos2 x = 0
4. 4 tg x – 9ctg x + 9 = 0
5. 14sin2 x – 4cos2 x = 5sin 2x
6. 1 – 5sin 2x – cos 2x = 12cos2 x

ВАРИАНТ 16

1. 8cos2 x + 14cos x – 9 = 0
2. 3cos2 x + 5sin x + 5 = 0
3. 2sin2 x + 11sin x cos x + 5cos2 x = 0
4. 5 tg x – 3ctg x + 14 = 0
5. 2sin2 x – 7sin 2x = 16cos2 x
6. 14sin2 x + 4cos 2x = 11sin 2x – 4

ВАРИАНТ 17

1. 12cos2 x – 20cos x + 7 = 0
2. 5cos2 x – 12sin x – 12 = 0
3. 3sin2 x + 13sin x cos x + 12cos2 x = 0
4. 5 tg x – 6ctg x + 7 = 0
5. sin2 x + 2sin 2x = 5cos2 x
6. 13sin 2x – 3cos 2x = –13

ВАРИАНТ 18

1. 3sin2 x – 10sin x + 7 = 0
2. 8sin2 x + 10cos x – 1 = 0
3. 4sin2 x + 13sin x cos x + 10cos2 x = 0
4. 3 tg x – 3ctg x + 8 = 0
5. sin 2x + 4cos2 x = 1
6. 10cos2 x – 9sin 2x = 4cos 2x – 4

ВАРИАНТ 19

1. 6cos2 x – 7cos x – 5 = 0
2. 3cos2 x + 7sin x – 7 = 0
3. 3sin2 x + 7sin x cos x + 2cos2 x = 0
4. 2 tg x – 4ctg x + 7 = 0
5. sin 2x – 22cos2 x + 10 = 0
6. 2sin2 x – 3sin 2x – 4cos 2x = 4

ВАРИАНТ 20

1. 5sin2 x + 12sin x + 7 = 0
2. 10sin2 x – 11cos x – 2 = 0
3. 4sin2 x + 13sin x cos x + 3cos2 x = 0
4. 6 tg x – 10ctg x + 7 = 0
5. 14cos2 x + 5sin 2x = 2
6. 4sin 2x = 4 – cos 2x

ВАРИАНТ 21

1. 6cos2 x + 11cos x + 4 = 0
2. 2cos2 x – 3sin x + 3 = 0
3. 2sin2 x + 7sin x cos x + 6cos2 x = 0
4. 4 tg x – 3ctg x + 11 = 0
5. 9sin 2x + 22sin2 x = 20
6. 8sin2 x + 7sin 2x + 3cos 2x + 3 = 0

ВАРИАНТ 22

1. 2sin2 x + 3sin x – 5 = 0
2. 10sin2 x – 17cos x – 16 = 0
3. 5sin2 x + 13sin x cos x + 6cos2 x = 0
4. 3 tg x – 14ctg x + 1 = 0
5. 10sin2 x + 13sin 2x + 8 = 0
6. 6cos2 x + cos 2x = 1 + 2sin 2x

ВАРИАНТ 23

1. 10cos2 x + 11cos x – 8 = 0
2. 4cos2 x – 11sin x – 11 = 0
3. 3sin2 x + 8sin x cos x + 4cos2 x = 0
4. 5 tg x – 12ctg x + 11 = 0
5. 5sin 2x + 22sin2 x = 16
6. 2sin2 x – 10cos 2x = 9sin 2x + 10

ВАРИАНТ 24

1. 4sin2 x + 11sin x + 7 = 0
2. 8sin2 x – 14cos x + 1 = 0
3. 2sin2 x + 9sin x cos x + 9cos2 x = 0
4. 6 tg x – 2ctg x + 11 = 0
5. 8sin2 x – 7 = 3sin 2x
6. 11sin 2x = 11 – cos 2x

ВАРИАНТ 25

1. 2cos2 x + 3cos x – 5 = 0
2. 6cos2 x – 11sin x – 10 = 0
3. sin2 x + 7sin x cos x + 12cos2 x = 0
4. 7 tg x – 8ctg x + 10 = 0
5. 9cos2 x – sin2 x= 4sin 2x
6. 7sin 2x + 3cos 2x + 7 = 0

ВАРИАНТ 26

1. 10sin2 x + 17sin x + 6 = 0
2. 3sin2 x + 7cos x – 7 = 0
3. 3sin2 x + 11sin x cos x + 10cos2 x = 0
4. 5 tg x – 9ctg x + 12 = 0
5. 3sin2 x + 5sin 2x + 7cos2 x = 0
6. 12cos2 x + cos 2x = 5sin 2x + 1

ВАРИАНТ 27

1. 5cos2 x + 12cos x + 7 = 0
2. 10cos2 x + 17sin x – 16 = 0
3. 2sin2 x + 9sin x cos x + 4cos2 x = 0
4. 4 tg x – 6ctg x + 5 = 0
5. 8sin2 x + 3sin 2x = 14cos2 x
6. 2sin2 x – 7cos 2x = 6sin 2x + 7

ВАРИАНТ 28

1. 12sin2 x – 20sin x + 7 = 0
2. 3sin2 x + 5cos x + 5 = 0
3. 3sin2 x + 13sin x cos x + 14cos2 x = 0
4. 3 tg x – 4ctg x + 11 = 0
5. 8cos2 x + 7sin 2x + 6sin2 x = 0
6. 1 – cos 2x = 18cos2 x – 8sin 2x

ВАРИАНТ 29

1. 4cos2 x + 11cos x + 7 = 0
2. 10cos2 x – 11sin x – 2 = 0
3. 2sin2 x + 13sin x cos x + 6cos2 x = 0
4. 3 tg x – 2ctg x + 5 = 0
5. 7sin 2x + 2 = 18cos2 x
6. 13sin 2x + 13 = –5cos 2x

ВАРИАНТ 30

1. 8sin2 x + 14sin x – 9 = 0
2. 2sin2 x + 5cos x + 5 = 0
3. sin2 x + 9sin x cos x + 14cos2 x = 0
4. 2 tg x – 5ctg x + 9 = 0
5. 7sin2 x + 5sin 2x + 3cos2 x = 0
6. 2sin2 x + 9sin 2x = 10cos 2x + 10

ВАРИАНТ 31

1. 3cos2 x – 7cos x + 4 = 0
2. 8cos2 x + 10sin x – 1 = 0
3. 3sin2 x + 13sin x cos x + 4cos2 x = 0
4. 5 tg x – 14ctg x + 3 = 0
5. 7sin 2x = 22sin2 x – 4
6. cos 2x + 8sin 2x = 1 – 18cos2 x

ВАРИАНТ 32

1. 8sin2 x – 10sin x – 7 = 0
2. 2sin2 x – 3cos x + 3 = 0
3. 2sin2 x + 11sin x cos x + 12cos2 x = 0
4. 4 tg x – 14ctg x + 1 = 0
5. 4sin 2x + 10cos2 x = 1
6. 11sin 2x – 7cos 2x = 11

02.01.2010 18:24 Учителю. Артем 3939 8974 0
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