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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 5

Trigonometry D (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Use the unit circle to define trigonometric functions and represent them graphically
  • Redefine the sine and cosine ratios in terms of the unit circle

  • Verify that the tangent ratio can be expressed as a ratio of the sine and cosine ratios

  • Use graphing applications to examine graphs of the sine, cosine and tangent functions for angles of any magnitude, including negative angles

Solve trigonometric equations using exact values and the relationships between supplementary and complementary angles
  • Find the possible acute and/or obtuse angles, given a trigonometric ratio

  • Apply the sine rule and area rule to find angles involving the ambiguous case

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