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Trigonometric ratios
Label the opposite, adjacent and hypotenuse sides of a right-angled triangle and use similar triangles to explain why sine, cosine and tangent are fixed for each angle.
⏱ 18 min❓ 10 questions
What you'll be able to do
- ✔I can label the hypotenuse, opposite and adjacent sides relative to a given angle
- ✔I can write sin θ, cos θ and tan θ as ratios of side lengths
- ✔I can use similar triangles to explain why each ratio is constant for a given angle
How this works
- 1Read the short explanations first — they teach you what you need before each question.
- 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
- 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.
What's inside
10 questions and 1 quick teaching card, including:
- 🔘Multiple choice — Tap the answer you think is best, then check it.
- 🔗Match the pairs — Choose the partner that goes with each item.
👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.
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Curriculum: AC9M9M04