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Ecolint Campus des NationsMathematics
MYP 5Year 11Term 2–3

11.7 Non-right-angle Trigonometry

Sine rule · Cosine rule · Area of a triangle · Bearings · Problem-solving · [EXT] Ambiguous case of sine rule

Geometry
8 objectives

Learning objectives

What students should be able to do by the end of this unit.

Non-right-angle Trigonometry

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  • Apply right-angled trigonometry and Pythagoras' theorem to multi-step problems, including 3D.
  • Apply the sine rule to find missing sides and angles.
  • Apply the cosine rule to find missing sides and angles.
  • Apply the area-of-a-triangle formula $\tfrac{1}{2}ab\sin C$.
  • Solve problems involving bearings.
  • Combine right-angle and non-right-angle trigonometry in surveying / navigation contexts.
  • Solve problems involving the ambiguous case of the sine rule.EXT
  • Prove the sine rule and the cosine rule.ENR
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