Year 8 to Year 10A · Australian Curriculum

Free trigonometry worksheets, Years 9 and 10

Trigonometry from its start in Year 9 to the Year 10A extension topics: SOH CAH TOA, finding sides and angles, elevation, depression and bearings, then the sine and cosine rules. Each topic has six new questions with worked solutions.

Topics
7 trigonometry topics
Each worksheet
6 new questions, Foundation to Extension
Answers
Fully worked solutions
Years
8, 9, 10 and 10A

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Six questions across Foundation, Standard and Extension, with full worked solutions, written to the Australian Curriculum.

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How trigonometry builds, year by year

Trigonometry starts in Year 9 and builds on Pythagoras' theorem from Year 8, so that's the place to go back to if right-angled triangles are shaky.

Year 8

Pythagoras' theorem: finding a missing side of a right-angled triangle. The groundwork for trigonometry.

Year 9

Sine, cosine and tangent (SOH CAH TOA) to find missing sides and angles in right-angled triangles.

Year 10

Trigonometry in applied problems: angles of elevation and depression, bearings, and combining it with Pythagoras.

Year 10A

Non-right-angled triangles with the sine and cosine rules, 3D problems and trigonometric equations.

Trigonometry worksheet questions

Are these trigonometry worksheets free?

Yes. Enter your email the first time and you can make one free worksheet a day, on any topic from Year 7 to Year 10A. Every topic page also has free worked examples you can read straight away.

Do the worksheets have answers?

Every question comes with a fully worked solution, step by step, so students can check their own work and see exactly where a mistake happened.

What does SOH CAH TOA mean?

It's a way to remember the three ratios in a right-angled triangle: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent. Label the sides from the angle you're working with first.

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Free to download · 7-day free trial on monthly · Years 7 to 10 maths · On iPhone. Android coming soon
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