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NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Implementation from 2024
Expand for detailed implementation advice

Content

Stage 5

Trigonometry A
Demonstrate and explain the constancy of trigonometric ratios for a given angle in right-angled triangles
  • Identify and label the Loading , Loading  and opposite sides with respect to a given Loading  in a right-angled Loading  in any orientation

  • Define the sine, cosine and tangent ratios for angles in right-angled triangles and use trigonometric notation sinθ,cosθ,tanθ

  • Identify the Loading , Loading  and Loading  in a right-angled triangle

  • Verify the constancy of the sine, cosine and tangent ratios for a given angle by applying knowledge of similar right-angled triangles

  • Find approximations of the Loading  for a given angle

  • Find the size of an angle given one of the trigonometric ratios for the angle using digital tools

Apply trigonometry to solve right-angled triangle problems
  • Apply trigonometry to find the Loading  of unknown Loading  in right-angled triangles with a given angle including angles in Loading  and minutes

  • Apply trigonometry to find the size of unknown angles in right-angled triangles including in degrees and minutes

  • Solve a variety of practical problems involving trigonometric ratios in right-angled triangles

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