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11 x1 t08 01 radian measure (13)

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Nigel Simmons

The document discusses trigonometric functions and radian measure. It states that 360 degrees equals 2 pi radians. It then provides a table with common conversions between degrees and radians for angles from 30 to 360 degrees. Examples are also given of converting degrees to radians and radians to degrees.

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Trigonometric Functions
Trigonometric Functions Radian Measure
Trigonometric Functions Radian Measure 360 2 radians
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3 
Trigonometric Functions Radian Measure Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  360 2 radians
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4  330 11 6 
Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4  330 11 6  360 2
e.g. Express in radians (i) 67
e.g. Express in radians (i) 67 67 rads 180  
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp)
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180  
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5  
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8 
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8    
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2  
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1   
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1    6365.6 (to 1 dp) 
e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1    6365.6 (to 1 dp)  Exercise 14A; 1 to 6 ace etc, 8 aceg, 9 ace, 10, 11, 16 ace, 19

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11 x1 t08 01 radian measure (13)

  • 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 Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  360 2 radians
  • 9. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3 
  • 10. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4 
  • 11. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6 
  • 12. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180 
  • 13. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6 
  • 14. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4 
  • 15. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3 
  • 16. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2 
  • 17. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3 
  • 18. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4 
  • 19. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4  330 11 6 
  • 20. Trigonometric Functions Radian Measure 360 2 radians Common Conversions Degrees Radians 30 6  45 4  60 3  90 2  Degrees Radians 120 2 3  135 3 4  150 5 6  180  Degrees Radians 210 7 6  225 5 4  240 4 3  270 3 2  Degrees Radians 300 5 3  315 7 4  330 11 6  360 2
  • 21. e.g. Express in radians (i) 67
  • 22. e.g. Express in radians (i) 67 67 rads 180  
  • 23. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp)
  • 24. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36
  • 25. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180  
  • 26. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5  
  • 27. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8 
  • 28. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8    
  • 29. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2  
  • 30. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads
  • 31. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1   
  • 32. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1    6365.6 (to 1 dp) 
  • 33. e.g. Express in radians (i) 67 67 rads 180   1.1693 rads (to 4 dp) (ii) 36 36 rads 180   rads 5   Convert to degrees (iii) rads 8  180 8     1 22 2   (iv)111.1 rads 180 111.1    6365.6 (to 1 dp)  Exercise 14A; 1 to 6 ace etc, 8 aceg, 9 ace, 10, 11, 16 ace, 19