Trigonometry

Here is a list of all of the skills that cover trigonometry! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Year 9 skills

  1. R.1 Pythagoras' theorem: find the length of the hypotenuse
  2. R.2 Pythagoras' theorem: find the missing leg length
  3. R.3 Pythagoras' theorem: find the perimeter
  4. R.4 Pythagoras' theorem: word problems
  5. R.5 Converse of Pythagoras' theorem: is it a right triangle?

Year 10 skills

  1. F.17 Pythagoras' theorem
  2. F.18 Pythagoras' theorem: word problems
  3. F.19 Converse of Pythagoras' theorem: is it a right triangle?
  4. F.20 Special right triangles

Year 11 skills

  1. EE.1 Pythagoras' Theorem
  2. EE.2 Converse of Pythagoras' theorem
  3. EE.3 Pythagoras' Inequality Theorems
  4. EE.4 Special right triangles
  5. FF.1 Quadrants
  6. FF.2 Graphs of angles
  7. FF.3 Coterminal angles
  8. FF.4 Reference angles
  9. GG.1 Trigonometric ratios: sin, cos and tan
  10. GG.2 Trigonometric ratios: csc, sec and cot
  11. GG.3 Trigonometric ratios in similar right triangles
  12. GG.4 Find trigonometric ratios using the unit circle
  13. GG.5 Trigonometric functions of complementary angles
  14. GG.6 Sin, cos and tan of special angles
  15. GG.7 Csc, sec and cot of special angles
  16. GG.8 Find trigonometric functions using a calculator
  17. GG.9 Symmetry and periodicity of trigonometric functions
  18. GG.10 Inverses of sin, cos and tan
  19. GG.11 Inverses of csc, sec and cot
  20. GG.12 Solve trigonometric equations I
  21. GG.13 Solve trigonometric equations II
  22. GG.14 Trigonometric ratios: find a side length
  23. GG.15 Trigonometric ratios: find an angle measure
  24. GG.16 Solve a right triangle

Year 12 skills

  1. V.1 Convert between radians and degrees
  2. V.2 Radians and arc length
  3. V.3 Quadrants
  4. V.4 Graphs of angles
  5. V.5 Coterminal angles
  6. V.6 Reference angles
  7. W.1 Pythagoras' Theorem and its converse
  8. W.2 Special right triangles
  9. W.3 Trigonometric ratios: sin, cos and tan
  10. W.4 Trigonometric ratios: csc, sec and cot
  11. W.5 Trigonometric ratios in similar right triangles
  12. W.6 Find trigonometric ratios using the unit circle
  13. W.7 Sin, cos and tan of special angles
  14. W.8 Csc, sec and cot of special angles
  15. W.9 Find trigonometric functions using a calculator
  16. W.10 Inverses of sin, cos and tan
  17. W.11 Inverses of csc, sec and cot
  18. W.12 Solve trigonometric equations I
  19. W.13 Solve trigonometric equations II
  20. W.14 Trigonometric ratios: find a side length
  21. W.15 Trigonometric ratios: find an angle measure
  22. W.16 Solve a right triangle
  23. W.17 Law of Sines
  24. W.18 Law of Cosines
  25. W.19 Solve a triangle
  26. X.1 Find properties of sine functions
  27. X.2 Write equations of sine functions from graphs
  28. X.3 Write equations of sine functions using properties
  29. X.4 Graph sine functions
  30. X.5 Find properties of cosine functions
  31. X.6 Write equations of cosine functions from graphs
  32. X.7 Write equations of cosine functions using properties
  33. X.8 Graph cosine functions
  34. X.9 Graph sine and cosine functions
  35. Y.1 Complementary angle identities
  36. Y.2 Symmetry and periodicity of trigonometric functions
  37. Y.3 Trigonometric identities I
  38. Y.4 Trigonometric identities II

Year 13 skills

  1. H.1 Convert between radians and degrees
  2. H.2 Radians and arc length
  3. H.3 Quadrants
  4. H.4 Coterminal and reference angles
  5. H.5 Find trigonometric ratios using right triangles
  6. H.6 Find trigonometric ratios using the unit circle
  7. H.7 Find trigonometric ratios using reference angles
  8. H.8 Inverses of trigonometric functions
  9. H.9 Solve trigonometric equations
  10. H.10 Trigonometric ratios: find a side length
  11. H.11 Trigonometric ratios: find an angle measure
  12. H.12 Solve a right triangle
  13. H.13 Law of Sines
  14. H.14 Law of Cosines
  15. H.15 Solve a triangle
  16. I.1 Find properties of sine functions
  17. I.2 Write equations of sine functions from graphs
  18. I.3 Write equations of sine functions using properties
  19. I.4 Graph sine functions
  20. I.5 Find properties of cosine functions
  21. I.6 Write equations of cosine functions from graphs
  22. I.7 Write equations of cosine functions using properties
  23. I.8 Graph cosine functions
  24. I.9 Graph sine and cosine functions
  25. J.1 Complementary angle identities
  26. J.2 Symmetry and periodicity of trigonometric functions
  27. J.3 Trigonometric identities I
  28. J.4 Trigonometric identities II