Year 9 - Trigonometry - Free practice
Year 9 Trigonometry Worksheets & Practice Tests
SOHCAHTOA - find missing sides and angles in right-angled triangles.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 9 trig is the first proper introduction to SOHCAHTOA. These worksheets give your student practice on both directions - finding a missing side, finding a missing angle - across enough varied triangles to make the right-ratio choice feel automatic.
What's covered
Sub-skills your student will practise
- ✓Labelling opposite / adjacent / hypotenuse for a given angle
- ✓Choosing the right ratio (sin / cos / tan) for the question
- ✓Finding a missing side length
- ✓Finding a missing angle using inverse trig
- ✓Word problems involving heights, ramps, shadows
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Frequently asked
Questions parents ask about trigonometry
What does SOHCAHTOA stand for?
Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent. It's a memory trick for the three trig ratios in a right-angled triangle.
How do students choose which ratio to use?
Look at the two sides involved in the question relative to the given angle. If it's opposite and hypotenuse, use sine. Adjacent and hypotenuse, cosine. Opposite and adjacent, tangent.
How do students find a missing angle (not a side)?
Set up the trig ratio with the known sides, then apply the inverse function (sin^-1, cos^-1, tan^-1). For sin theta = 0.5, theta = sin^-1(0.5) = 30 degrees.
Why does Year 9 trigonometry only cover right-angled triangles?
Because non-right-angle trig needs the sine and cosine rules, which are Year 10A and beyond. The SOHCAHTOA toolkit covers right-angled triangles fully but doesn't extend to other shapes.
Want a real plan for the term?
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