11 x1 t08 01 radian measure (2012)

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11 x1 t08 01 radian measure (2012)

  1. 1. Trigonometric Functions
  2. 2. Trigonometric FunctionsRadian Measure
  3. 3. Trigonometric FunctionsRadian Measure 360  2 radians
  4. 4. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians
  5. 5. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians  30 6
  6. 6. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians  30 6  45 4
  7. 7. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians  30 6  45 4  60 3
  8. 8. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians  30 6  45 4  60 3  90 2
  9. 9. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians Degrees Radians  2 30 120 6 3  45 4  60 3  90 2
  10. 10. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians Degrees Radians  2 30 120 6 3  3 45 135 4 4  60 3  90 2
  11. 11. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians Degrees Radians  2 30 120 6 3  3 45 135 4 4  5 60 150 3 6  90 2
  12. 12. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees Radians Degrees Radians  2 30 120 6 3  3 45 135 4 4  5 60 150 3 6  90 180  2
  13. 13. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 14. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 15. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 16. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 17. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 18. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 19. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 20. Trigonometric FunctionsRadian Measure 360  2 radiansCommon ConversionsDegrees 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. 21. e.g. Express in radians (i) 67
  22. 22. e.g. Express in radians 67 (i) 67   rads 180
  23. 23. e.g. Express in radians 67 (i) 67   rads 180  1.1693 rads (to 4 dp)
  24. 24. e.g. Express in radians 67 (i) 67   rads (ii) 36 180  1.1693 rads (to 4 dp)
  25. 25. e.g. Express in radians 67 36 (i) 67   rads (ii) 36   rads 180 180  1.1693 rads (to 4 dp)
  26. 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. 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. 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. 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. 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. 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. 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. 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

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