11.7 Non-right-angle Trigonometry

Non-right-angle Trigonometry

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