claritute
NSW MATHS · TRIGONOMETRY

Trigonometry without the fear — Years 9 to 10

Trigonometry sounds intimidating, but it rests on one clear idea: in right-angled triangles, the ratios of the sides are fixed by the angle. Get that, and the rest follows.

Start your 7-day free trial →Years 9–10 · NSW syllabus-aligned.
Free for 7 days, then $25/month.

Understanding trigonometry

Most trig trouble is really labelling trouble — which side is opposite, adjacent or hypotenuse — and choosing sin, cos or tan. Claritute drills the labelling with diagrams until it is automatic, then the formulas do the work.

Lessons build from the three ratios to finding unknown sides, finding unknown angles, and solving real-world problems — heights, distances and bearings. Aligned to the NSW Stage 5 Pythagoras-and-trigonometry outcomes, and a key foundation for senior maths.

What you’ll learn

12 Claritute lessons cover trigonometry across Years 9–10 — each one visual and step-by-step.

Opposite, adjacent and hypotenuse

The sine, cosine and tangent ratios

Finding an unknown side

Finding an unknown angle

Real-world problems (heights, distances)

Why families choose Claritute

🔍 Free Gap Finder

Find the missing block — fast

A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.

✏️ Worked examples that teach

Then it’s their turn — every time

Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.

🍎 A registered NSW teacher

Built and taught by Angelo Hanna

Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.

Where to go next

Frequently asked questions

Why is trigonometry so hard for students?

Usually it is not the maths — it is labelling the triangle and picking the right ratio. Once that is automatic (which Claritute drills with diagrams), trig becomes mechanical and reliable.

Is Year 9–10 trigonometry important for the HSC?

Very. Trigonometry is a major strand of senior maths, and a solid Stage 5 foundation is one of the biggest predictors of HSC success. Claritute covers Stage 5 thoroughly; it does not teach the Year 11–12 courses themselves.

Do I need to know Pythagoras first?

Yes — Pythagoras and trigonometry go together, and Claritute teaches Pythagoras first. You can start with either topic; the lessons link to each other.

Make trigonometry click for your child.

Start the free trial →7 days free · cancel anytime · built by a registered NSW teacher