The document discusses trigonometric functions and conversions between degrees and radians. It provides a table with common degree-radian conversions from 30° to 360° in 30° increments. For example, 30° = π/6 radians, 45° = π/4 radians, and 90° = π/2 radians. It also gives examples of converting degrees to radians and radians to degrees.

1. Trigonometric Functions

2. Trigonometric Functions
Radian Measure

3. Trigonometric Functions
Radian Measure
360  2 radians

4. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians

5. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians

30
6

6. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians

30
6

45
4

7. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians

30
6

45
4

60
3

8. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians

30
6

45
4

60
3

90
2

9. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians
 2
30 120
6 3

45
4

60
3

90
2

10. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians
 2
30 120
6 3
 3
45 135
4 4

60
3

90
2

11. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians
 2
30 120
6 3
 3
45 135
4 4
 5
60 150
3 6

90
2

12. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians
 2
30 120
6 3
 3
45 135
4 4
 5
60 150
3 6

90 180 
2

13. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians
 2 7
30 120 210
6 3 6
 3
45 135
4 4
 5
60 150
3 6

90 180 
2

14. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians
 2 7
30 120 210
6 3 6
 3 5
45 135 225
4 4 4
 5
60 150
3 6

90 180 
2

15. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians
 2 7
30 120 210
6 3 6
 3 5
45 135 225
4 4 4
 5 4
60 150 240
3 6 3

90 180 
2

16. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians
 2 7
30 120 210
6 3 6
 3 5
45 135 225
4 4 4
 5 4
60 150 240
3 6 3
 3
90 180  270
2 2

17. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians Degrees Radians
 2 7 5
30 120 210 300
6 3 6 3
 3 5
45 135 225
4 4 4
 5 4
60 150 240
3 6 3
 3
90 180  270
2 2

18. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians Degrees Radians
 2 7 5
30 120 210 300
6 3 6 3
 3 5 7
45 135 225 315
4 4 4 4
 5 4
60 150 240
3 6 3
 3
90 180  270
2 2

19. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians Degrees Radians
 2 7 5
30 120 210 300
6 3 6 3
 3 5 7
45 135 225 315
4 4 4 4
 5 4 11
60 150 240 330
3 6 3 6
 3
90 180  270
2 2

20. Trigonometric Functions
Radian Measure
360  2 radians
Common Conversions
Degrees Radians Degrees Radians Degrees Radians Degrees Radians
 2 7 5
30 120 210 300
6 3 6 3
 3 5 7
45 135 225 315
4 4 4 4
 5 4 11
60 150 240 330
3 6 3 6
 3
90 180  270 360 2
2 2

21. e.g. Express in radians
(i) 67

22. e.g. Express in radians
67
(i) 67 

rads
180

23. e.g. Express in radians
67
(i) 67 

rads
180
 1.1693 rads (to 4 dp)

24. e.g. Express in radians
67
(i) 67 

rads (ii) 36
180
 1.1693 rads (to 4 dp)

25. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

26. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5

27. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees

(iii) rads
8

28. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180
(iii) rads  
8 8 

29. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180
(iii) rads  
8 8 

1
 22
2

30. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180
(iii) rads   (iv) 111.1 rads
8 8 

1
 22
2

31. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180 180
(iii) rads   (iv) 111.1 rads  111.1
8 8  

1
 22
2

32. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180 180
(iii) rads   (iv) 111.1 rads  111.1
8 8  

1
 22  6365.6 (to 1 dp)
2

33. e.g. Express in radians
67 36
(i) 67 

rads (ii) 36 

rads
180 180
 1.1693 rads (to 4 dp)

 rads
5
Convert to degrees
  180 180
(iii) rads   (iv) 111.1 rads  111.1
8 8  

1
 22  6365.6 (to 1 dp)
2
Exercise 14A; 1 to 6 ace etc, 8 aceg, 9 ace, 10, 11, 16 ace, 19