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11X1 T08 01 radian measure (2010)

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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 360  2 radians Common Conversions Degrees Radians  30 6  45 4  60 3  90 2
Trigonometric Functions Radian Measure 360  2 radians Common Conversions Degrees Radians Degrees Radians  2 30 120 6 3  45 4  60 3  90 2
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
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
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
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
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
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
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
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
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
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
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
e.g. Express in radians (i) 67
e.g. Express in radians 67 (i) 67   rads 180
e.g. Express in radians 67 (i) 67   rads 180  1.1693 rads (to 4 dp)
e.g. Express in radians 67 (i) 67   rads (ii) 36 180  1.1693 rads (to 4 dp)
e.g. Express in radians 67 36 (i) 67   rads (ii) 36   rads 180 180  1.1693 rads (to 4 dp)
e.g. Express in radians 67 36 (i) 67   rads (ii) 36   rads 180 180  1.1693 rads (to 4 dp)   rads 5
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
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 
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
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
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
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
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

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11X1 T08 01 radian measure (2010)

  • 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