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Stage 5 · Trigonometry D (Path) · Use the unit circle to define trigonometric functions and represent them graphically · Topic: Pythagoras & trigonometry · Year 9, 10

Redefine the sine and cosine ratios in terms of the unit circle

Dot point ID k-10-2022-stage-5-trigonometry-d-path/trd-utu-stg5-01 · NESA code MA_K_10_CP_TRD_UTU_STG5_01 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 11 resources ★EnrichExtension & rich tasks · 1 resource

Outcomes for this focus area (MA5-TRG-P-02)

MA5-TRG-P-02 establishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations (Path: Adv)

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

Interactive toolStarter
Maths Is Fun: Interactive unit circle
Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Drag a point round the unit circle to see sine, cosine and tangent values.
Also tagged to: Use graphing applications to examine the sine, cosine and ta…

Simulation

SimulationStarter Enrichment
PhET Trig Tour
PhET Interactive Simulations · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
Use it for: Connect the unit circle to sin, cos and tan graphs.
Also tagged to: Use graphing applications to examine graphs of the sine, cos…; Use graphing applications to examine the sine, cosine and ta…

Focus area resources

Checked resources for Trigonometry D (Path) as a whole (not mapped to a single dot point).

Unit/Planning
Stage 5 Year 10 – the unit circle elective (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-IND-P-02, MA5-TRG-P-02