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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 C (Path)

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

Solve 3-dimensional problems involving right-angled triangles
  • Apply Loading  to solve problems involving the Loading  of the Loading  and diagonals of Loading  prisms and other 3-dimensional Loading 

  • Apply trigonometry to solve problems involving right-angled Loading  in 3 dimensions, including using Loading  and Loading  and Loading 

Apply the sine, cosine and area rules to any triangle and solve related problems
  • Use graphing applications to verify the sine rule asinA=bsinB=csinC and that the ratios of a side to the sine of the opposite angle is a constant

  • Apply the sine rule in a given triangle ABC to find the value of an unknown side

  • Apply the sine rule in a given triangle ABC to find the value of an unknown angle (ambiguous case excluded): sinAa=sinBb=sinCc

  • Use graphing applications to verify the cosine rule c2=a2+b2-2abcosC.

  • Apply the cosine rule to find the unknown sides for a given triangle ABC.

  • Rearrange the formula to deduce that cosC=a2+ b2- c22ab and use this to find an unknown angle

  • Use graphing applications to verify the area rule A=12absinC.

  • Apply the formula A=12absinC, where a and b are the sides that form angle C to find the area of a given triangle  ABC

  • Solve problems involving finding unknown Loading  or Loading  in triangles (excluding right-angled triangles) by selecting and applying the appropriate rule

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