Дидактический материал по теме "Тригонометрические уравнения"

Вариант 1

1. 5cos²x+7cosx-6=0

2. 8cos²x-10sinx-11=0

3. 10tg²x+11tgx-6=0

4. cosx-3sinx=0

5. 2sin²x-sinx=0

6. sin3x-sin5x=0

7. 2sin2x+5sinx=0

8. sin2x+4cos²x=0

9. 5cos2x-6cos²x=0

10. 9cos2x+3cosx-1=0

11. 5sin2x-18cos²x+14=0

12. 3cosx+11sinx+9=0

Вариант 2

1. 5sin²x+21sinx+4=0

2. 5sin²x-7cosx+1=0

3. 8tg²x+10tgx+3=0

4. cosx-2sinx=0

5. cos²x+4cosx=0

6. sin3x-sin7x=0

7. 7sin2x-2sinx=0

8. sin2x+10cos²x=0

9. 5cos2x-14cos²x+8=0

10. 3cos2x-14cosx+7=0

11. 11sin2x+6cos²x+6=0

12. 16cosx-11sinx-4=0

Вариант 3

1. 2cos²x-11cosx+5=0

2. 3cos²x+7sinx-5=0

3. 18tg²x+3tgx-10=0

4. 5cosx-2sinx=0

5. 4cos²x+3cosx=0

6. cos3x-cosx=0

7. 2sin2x+3cosx=0

8. 5sin2x+8sin²x=0

9. 3cos2x-31cos²x+27=0

10. 3cos2x-22sinx-15=0

11. 19sin2x+6cos²x-12=0

12. 9cosx+sinx-1=0

Вариант 4

1. 8cos²x +10cosx +3= 0

2. 10cos²x-11sinx-4=0

3. 3tgx +6ctgx +11=0

4. 6cosx +5sin x = 0

5. cos²x – 3cosx =0

6. cos3x+cos9x=0

7. 5 sin2x – 4cos x = o

8. 2sin 2x +3 sin²x = 0

9. cos2x – 3cos² x+2 = 0

10. 5cos 2x – 2cosx -3 = 0

11. 21sin2x+2sin²x+8=0

12. 9cosx-5sinx-5=0

Вариант 5

1. 10cos²x+11cosx-6=0

2. 3cos²x-11sinx-9=0

3. 7tgx-2ctgx-5=0

4. 4cosx+5sinx=0

5. 5sin²x+6sinx=0

6. sin5x+sin7x=0

7. sin2x-8sinx=0

8. 5sin2x+4cos²x=0

9. 6cos2x-3cos²x+5=0

10. 3 cos2x-19cosx+6=0

11. 7sin2x-22cos²x+10=0

12. cosx-21sinx-9=0

Вариант 6

1. 6cos²x-19cosx+3=0

2. 8cos²x+10sinx-5=0

3. 2tgx+5ctgx-11=0

4. 3cosx-5sinx=0

5. 5sin²x+sinx=0

6. cos5x+cosx=0

7. 5sin2x+2cosx=0

8. sin2x-2sin²x=0

9. 6cos2x+8sin²x-5=0

10. 4cos2x+10cosx+7=0

11. 3sin2x+56sin²x-20=0

12. cosx+7sinx-5=0

Вариант 7

1. 3 sin²x -7sinx+2=0

2. 18sin²x-3cosx-8=0

3. 5tg²x-tgx-4=0

4. 2cosx+3sinx=0

5. 5cos²x-2cosx=0

6. cos7x-cosx=0

7. sin2x+5sinx=0

8. sin2x-5cos²x=0

9. 3cos2x+10sin²x-6=0

10. 7cos2x-10sinx-3=0

11. 5sin2x-11sin²x=0

12. 3cosx+19sinx-9=0

Вариант 8

1.7sin²x+5sinx-2=0

2. 5sin²x – 21cosx-9=0

3.5tgx-6ctgx+7=0

4.4cosx+sinx=0

5.sin²x-6sinx=0

6.cos6x+cos4x=0

7.sin2x-2sinx=0

8.3sin2x+2sin²x=0

9.7cos2x+18sin²x-9=0

10.cos2x+11sinx-6=0

11.11sin2x+32sin²x-12=0

12.5cosx-10sinx-11=0

Вариант 9

1. 3cos²x+11cosx+6=0

2. 7cos²x-5sinx-5=0

3. 5tgx+4ctgx+21=0

4. cosx-6sinx=0

5. 5sin²x+4sinx=0

6. sin6x+sin2x=0

7. 5sin2x-6cosx=0

8. 3sin2x+4cos²x=0

9. 4cos2x+44sin²x-29=0

10. 4cos2x-10cosx+1=0

11. 5sin2x+5sin²x+3=0

12. 11cosx-7sinx+1=0

Вариант 10

1. 5cos²x+7cosx-6=0

2. 8cos²x-10sinx-11=0

3. 10tg²x+11tgx-6=0

4. cosx-3sinx=0

5. 2sin²x-sinx=0

6. sin3x-sin5x=0

7. 2sin2x+5sinx=0

8. sin2x+4cos²x=0

9. 5cos2x-6cos²x=0

10. 9cos2x+3cosx-1=0

11. 5sin2x-18cos²x+14=0

12. 3cosx+11sinx+9=0

Вариант 11

1. 5sin²x+21sinx+4=0

2. 5sin²x-7cosx+1=0

3. 8tg²x+10tgx+3=0

4. cosx-2sinx=0

5. cos²x+4cosx=0

6. sin3x-sin7x=0

7. 7sin2x-2sinx=0

8. sin2x+10cos²x=0

9. 5cos2x-14cos²x+8=0

10. 3cos2x-14cosx+7=0

11. 11sin2x+6cos²x+6=0

12. 16cosx-11sinx-4=0

Вариант 12

1. 2cos²x-11cosx+5=0

2. 3cos²x+7sinx-5=0

3. 18tg²x+3tgx-10=0

4. 5cosx-2sinx=0

5. 4cos²x+3cosx=0

6. cos3x-cosx=0

7. 2sin2x+3cosx=0

8. 5sin2x+8sin²x=0

9. 3cos2x-31cos²x+27=0

10. 3cos2x-22sinx-15=0

11. 19sin2x+6cos²x-12=0

12. 9cosx+sinx-1=0

Вариант 13

1. 8cos²x +10cosx +3= 0

2. 10cos²x-11sinx-4=0

3. 3tgx +6ctgx +11=0

4. 6cosx +5sin x = 0

5. cos²x – 3cosx =0

6. cos3x+cos9x=0

7. 5 sin2x – 4cos x = o

8. 2sin 2x +3 sin²x = 0

9. cos2x – 3cos² x+2 = 0

10. 5cos 2x – 2cosx -3 = 0

11. 21sin2x+2sin²x+8=0

12. 9cosx-5sinx-5=0

Вариант 14

1. 10cos²x+11cosx-6=0

2. 3cos²x-11sinx-9=0

3. 7tgx-2ctgx-5=0

4. 4cosx+5sinx=0

5. 5sin²x+6sinx=0

6. sin5x+sin7x=0

7. sin2x-8sinx=0

8. 5sin2x+4cos²x=0

9. 6cos2x-3cos²x+5=0

10. 3 cos2x-19cosx+6=0

11. 7sin2x-22cos²x+10=0

12. cosx-21sinx-9=0

Вариант 15

1. 6cos²x-19cosx+3=0

2. 8cos²x+10sinx-5=0

3. 2tgx+5ctgx-11=0

4. 3cosx-5sinx=0

5. 5sin²x+sinx=0

6. cos5x+cosx=0

7. 5sin2x+2cosx=0

8. sin2x-2sin²x=0

9. 6cos2x+8sin²x-5=0

10. 4cos2x+10cosx+7=0

11. 3sin2x+56sin²x-20=0

12. cosx+7sinx-5=0

Вариант 16

1. 3 sin²x -7sinx+2=0

2. 18sin²x-3cosx-8=0

3. 5tg²x-tgx-4=0

4. 2cosx+3sinx=0

5. 5cos²x-2cosx=0

6. cos7x-cosx=0

7. sin2x+5sinx=0

8. sin2x-5cos²x=0

9. 3cos2x+10sin²x-6=0

10. 7cos2x-10sinx-3=0

11. 5sin2x-11sin²x=0

12. 3cosx+19sinx-9=0

Вариант 17

1.7sin²x+5sinx-2=0

2. 5sin²x – 21cosx-9=0

3.5tgx-6ctgx+7=0

4.4cosx+sinx=0

5.sin²x-6sinx=0

6.cos6x+cos4x=0

7.sin2x-2sinx=0

8.3sin2x+2sin²x=0

9.7cos2x+18sin²x-9=0

10.cos2x+11sinx-6=0

11.11sin2x+32sin²x-12=0

12.5cosx-10sinx-11=0

Вариант 18

1. 3cos²x+11cosx+6=0

2. 7cos²x-5sinx-5=0

3. 5tgx+4ctgx+21=0

4. cosx-6sinx=0

5. 5sin²x+4sinx=0

6. sin6x+sin2x=0

7. 5sin2x-6cosx=0

8. 3sin2x+4cos²x=0

9. 4cos2x+44sin²x-29=0

10. 4cos2x-10cosx+1=0

11. 5sin2x+5sin²x+3=0

12. 11cosx-7sinx+1=0

Вариант 19

1. 5cos²x+7cosx-6=0

2. 8cos²x-10sinx-11=0

3. 10tg²x+11tgx-6=0

4. cosx-3sinx=0

5. 2sin²x-sinx=0

6. sin3x-sin5x=0

7. 2sin2x+5sinx=0

8. sin2x+4cos²x=0

9. 5cos2x-6cos²x=0

10. 9cos2x+3cosx-1=0

11. 5sin2x-18cos²x+14=0

12. 3cosx+11sinx+9=0

Вариант 20

1. 5sin²x+21sinx+4=0

2. 5sin²x-7cosx+1=0

3. 8tg²x+10tgx+3=0

4. cosx-2sinx=0

5. cos²x+4cosx=0

6. sin3x-sin7x=0

7. 7sin2x-2sinx=0

8. sin2x+10cos²x=0

9. 5cos2x-14cos²x+8=0

10. 3cos2x-14cosx+7=0

11. 11sin2x+6cos²x+6=0

12. 16cosx-11sinx-4=0

Вариант 21

1. 2cos²x-11cosx+5=0

2. 3cos²x+7sinx-5=0

3. 18tg²x+3tgx-10=0

4. 5cosx-2sinx=0

5. 4cos²x+3cosx=0

6. cos3x-cosx=0

7. 2sin2x+3cosx=0

8. 5sin2x+8sin²x=0

9. 3cos2x-31cos²x+27=0

10. 3cos2x-22sinx-15=0

11. 19sin2x+6cos²x-12=0

12. 9cosx+sinx-1=0

Вариант 22

1. 8cos²x +10cosx +3= 0

2. 10cos²x-11sinx-4=0

3. 3tgx +6ctgx +11=0

4. 6cosx +5sin x = 0

5. cos²x – 3cosx =0

6. cos3x+cos9x=0

7. 5 sin2x – 4cos x = o

8. 2sin 2x +3 sin²x = 0

9. cos2x – 3cos² x+2 = 0

10. 5cos 2x – 2cosx -3 = 0

11. 21sin2x+2sin²x+8=0

12. 9cosx-5sinx-5=0

Вариант 23

1. 10cos²x+11cosx-6=0

2. 3cos²x-11sinx-9=0

3. 7tgx-2ctgx-5=0

4. 4cosx+5sinx=0

5. 5sin²x+6sinx=0

6. sin5x+sin7x=0

7. sin2x-8sinx=0

8. 5sin2x+4cos²x=0

9. 6cos2x-3cos²x+5=0

10. 3 cos2x-19cosx+6=0

11. 7sin2x-22cos²x+10=0

12. cosx-21sinx-9=0

Вариант 24

1. 6cos²x-19cosx+3=0

2. 8cos²x+10sinx-5=0

3. 2tgx+5ctgx-11=0

4. 3cosx-5sinx=0

5. 5sin²x+sinx=0

6. cos5x+cosx=0

7. 5sin2x+2cosx=0

8. sin2x-2sin²x=0

9. 6cos2x+8sin²x-5=0

10. 4cos2x+10cosx+7=0

11. 3sin2x+56sin²x-20=0

12. cosx+7sinx-5=0

Вариант 25

1. 3 sin²x -7sinx+2=0

2. 18sin²x-3cosx-8=0

3. 5tg²x-tgx-4=0

4. 2cosx+3sinx=0

5. 5cos²x-2cosx=0

6. cos7x-cosx=0

7. sin2x+5sinx=0

8. sin2x-5cos²x=0

9. 3cos2x+10sin²x-6=0

10. 7cos2x-10sinx-3=0

11. 5sin2x-11sin²x=0

12. 3cosx+19sinx-9=0

Вариант 26

1.7sin²x+5sinx-2=0

2. 5sin²x – 21cosx-9=0

3.5tgx-6ctgx+7=0

4.4cosx+sinx=0

5.sin²x-6sinx=0

6.cos6x+cos4x=0

7.sin2x-2sinx=0

8.3sin2x+2sin²x=0

9.7cos2x+18sin²x-9=0

10.cos2x+11sinx-6=0

11.11sin2x+32sin²x-12=0

12.5cosx-10sinx-11=0

Вариант 27

1. 3cos²x+11cosx+6=0

2. 7cos²x-5sinx-5=0

3. 5tgx+4ctgx+21=0

4. cosx-6sinx=0

5. 5sin²x+4sinx=0

6. sin6x+sin2x=0

7. 5sin2x-6cosx=0

8. 3sin2x+4cos²x=0

9. 4cos2x+44sin²x-29=0

10. 4cos2x-10cosx+1=0

11. 5sin2x+5sin²x+3=0

12. 11cosx-7sinx+1=0

Вариант 28

1. 5cos²x+7cosx-6=0

2. 8cos²x-10sinx-11=0

3. 10tg²x+11tgx-6=0

4. cosx-3sinx=0

5. 2sin²x-sinx=0

6. sin3x-sin5x=0

7. 2sin2x+5sinx=0

8. sin2x+4cos²x=0

9. 5cos2x-6cos²x=0

10. 9cos2x+3cosx-1=0

11. 5sin2x-18cos²x+14=0

12. 3cosx+11sinx+9=0

Вариант 29

1. 5sin²x+21sinx+4=0

2. 5sin²x-7cosx+1=0

3. 8tg²x+10tgx+3=0

4. cosx-2sinx=0

5. cos²x+4cosx=0

6. sin3x-sin7x=0

7. 7sin2x-2sinx=0

8. sin2x+10cos²x=0

9. 5cos2x-14cos²x+8=0

10. 3cos2x-14cosx+7=0

11. 11sin2x+6cos²x+6=0

12. 16cosx-11sinx-4=0

Вариант 30

1. 2cos²x-11cosx+5=0

2. 3cos²x+7sinx-5=0

3. 18tg²x+3tgx-10=0

4. 5cosx-2sinx=0

5. 4cos²x+3cosx=0

6. cos3x-cosx=0

7. 2sin2x+3cosx=0

8. 5sin2x+8sin²x=0

9. 3cos2x-31cos²x+27=0

10. 3cos2x-22sinx-15=0

11. 19sin2x+6cos²x-12=0

12. 9cosx+sinx-1=0

Вариант 31

1. 8cos²x +10cosx +3= 0

2. 10cos²x-11sinx-4=0

3. 3tgx +6ctgx +11=0

4. 6cosx +5sin x = 0

5. cos²x – 3cosx =0

6. cos3x+cos9x=0

7. 5 sin2x – 4cos x = o

8. 2sin 2x +3 sin²x = 0

9. cos2x – 3cos² x+2 = 0

10. 5cos 2x – 2cosx -3 = 0

11. 21sin2x+2sin²x+8=0

12. 9cosx-5sinx-5=0

Вариант 32

1. 10cos²x+11cosx-6=0

2. 3cos²x-11sinx-9=0

3. 7tgx-2ctgx-5=0

4. 4cosx+5sinx=0

5. 5sin²x+6sinx=0

6. sin5x+sin7x=0

7. sin2x-8sinx=0

8. 5sin2x+4cos²x=0

9. 6cos2x-3cos²x+5=0

10. 3 cos2x-19cosx+6=0

11. 7sin2x-22cos²x+10=0

12. cosx-21sinx-9=0

Вариант 33

1. 6cos²x-19cosx+3=0

2. 8cos²x+10sinx-5=0

3. 2tgx+5ctgx-11=0

4. 3cosx-5sinx=0

5. 5sin²x+sinx=0

6. cos5x+cosx=0

7. 5sin2x+2cosx=0

8. sin2x-2sin²x=0

9. 6cos2x+8sin²x-5=0

10. 4cos2x+10cosx+7=0

11. 3sin2x+56sin²x-20=0

12. cosx+7sinx-5=0

Вариант 34

1. 3 sin²x -7sinx+2=0

2. 18sin²x-3cosx-8=0

3. 5tg²x-tgx-4=0

4. 2cosx+3sinx=0

5. 5cos²x-2cosx=0

6. cos7x-cosx=0

7. sin2x+5sinx=0

8. sin2x-5cos²x=0

9. 3cos2x+10sin²x-6=0

10. 7cos2x-10sinx-3=0

11. 5sin2x-11sin²x=0

12. 3cosx+19sinx-9=0

Вариант 35

1.7sin²x+5sinx-2=0

2. 5sin²x – 21cosx-9=0

3.5tgx-6ctgx+7=0

4.4cosx+sinx=0

5.sin²x-6sinx=0

6.cos6x+cos4x=0

7.sin2x-2sinx=0

8.3sin2x+2sin²x=0

9.7cos2x+18sin²x-9=0

10.cos2x+11sinx-6=0

11.11sin2x+32sin²x-12=0

12.5cosx-10sinx-11=0

Вариант 36

1. 3cos²x+11cosx+6=0

2. 7cos²x-5sinx-5=0

3. 5tgx+4ctgx+21=0

4. cosx-6sinx=0

5. 5sin²x+4sinx=0

6. sin6x+sin2x=0

7. 5sin2x-6cosx=0

8. 3sin2x+4cos²x=0

9. 4cos2x+44sin²x-29=0

10. 4cos2x-10cosx+1=0

11. 5sin2x+5sin²x+3=0

12. 11cosx-7sinx+1=0