# 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!

## Third-year skills

- F.22 Pythagoras' theorem
- F.23 Pythagoras' theorem: word problems
- F.24 Converse of Pythagoras' theorem: is it a right triangle?
- H.1 Trigonometric ratios: sin, cos and tan
- H.2 Trigonometric ratios: csc, sec and cot
- H.3 Find trigonometric functions of special angles
- H.4 Find trigonometric functions using a calculator
- H.5 Inverses of trigonometric functions
- H.6 Trigonometric ratios: find a side length
- H.7 Trigonometric ratios: find an angle measure
- H.8 Solve a right triangle

## Transition year skills

- AA.1 Pythagoras' Theorem
- AA.2 Converse of Pythagoras' theorem
- AA.3 Pythagoras' Inequality Theorems
- AA.4 Special right triangles
- BB.1 Trigonometric ratios: sin, cos and tan
- BB.2 Trigonometric ratios: csc, sec and cot
- BB.3 Find trigonometric functions of special angles
- BB.4 Find trigonometric functions using a calculator
- BB.5 Inverses of trigonometric functions
- BB.6 Trigonometric ratios: find a side length
- BB.7 Trigonometric ratios: find an angle measure
- BB.8 Solve a right triangle

## Fifth-year skills

- T.1 Convert between radians and degrees
- T.2 Radians and arc length
- T.3 Quadrants
- T.4 Graphs of angles
- T.5 Coterminal angles
- T.6 Reference angles
- U.1 Pythagoras' Theorem and its converse
- U.2 Special right triangles
- U.3 Trigonometric ratios: sin, cos and tan
- U.4 Trigonometric ratios: csc, sec and cot
- U.5 Trigonometric ratios in similar right triangles
- U.6 Find trigonometric ratios using the unit circle
- U.7 Sin, cos and tan of special angles
- U.8 Csc, sec and cot of special angles
- U.9 Find trigonometric functions using a calculator
- U.10 Inverses of sin, cos and tan
- U.11 Inverses of csc, sec and cot
- U.12 Solve trigonometric equations I
- U.13 Solve trigonometric equations II
- U.14 Trigonometric ratios: find a side length
- U.15 Trigonometric ratios: find an angle measure
- U.16 Solve a right triangle
- U.17 Law of Sines
- U.18 Law of Cosines
- U.19 Solve a triangle
- V.1 Find properties of sine functions
- V.2 Write equations of sine functions from graphs
- V.3 Write equations of sine functions using properties
- V.4 Graph sine functions
- V.5 Find properties of cosine functions
- V.6 Write equations of cosine functions from graphs
- V.7 Write equations of cosine functions using properties
- V.8 Graph cosine functions
- V.9 Graph sine and cosine functions
- W.1 Complementary angle identities
- W.2 Symmetry and periodicity of trigonometric functions
- W.3 Trigonometric identities I
- W.4 Trigonometric identities II

## Sixth-year skills

- L.1 Convert between radians and degrees
- L.2 Radians and arc length
- L.3 Quadrants
- L.4 Coterminal and reference angles
- L.5 Find trigonometric ratios using right triangles
- L.6 Find trigonometric ratios using the unit circle
- L.7 Find trigonometric ratios using reference angles
- L.8 Inverses of trigonometric functions
- L.9 Solve trigonometric equations
- L.10 Trigonometric ratios: find a side length
- L.11 Trigonometric ratios: find an angle measure
- L.12 Solve a right triangle
- L.13 Law of Sines
- L.14 Law of Cosines
- L.15 Solve a triangle
- M.1 Find properties of sine functions
- M.2 Write equations of sine functions from graphs
- M.3 Write equations of sine functions using properties
- M.4 Graph sine functions
- M.5 Find properties of cosine functions
- M.6 Write equations of cosine functions from graphs
- M.7 Write equations of cosine functions using properties
- M.8 Graph cosine functions
- M.9 Graph sine and cosine functions
- N.1 Complementary angle identities
- N.2 Symmetry and periodicity of trigonometric functions
- N.3 Trigonometric identities I
- N.4 Trigonometric identities II