Grade 12Free Preview

Trigonometry in Two and Three Dimensions

This unit builds on the compound and double angle identities you learned in Term 1. Now you will apply trigonometry to solve problems involving triangles that are not right-angled, and extend these skills to three-dimensional situations.

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UNIT OVERVIEW

This unit builds on the compound and double angle identities you learned in Term 1. Now you will apply trigonometry to solve problems involving triangles that are not right-angled, and extend these skills to three-dimensional situations.

In this unit, you will learn to:

  • Apply the sine rule to find unknown sides and angles in non-right-angled triangles
  • Use the cosine rule when the sine rule cannot be applied
  • Calculate areas of triangles using the area rule
  • Solve two-dimensional problems involving multiple triangles
  • Extend your skills to three-dimensional contexts including pyramids and real-world structures
  • Interpret and construct diagrams from word problems

Why this matters:

Surveyors use these methods to calculate land areas. Engineers use 3D trigonometry to design structures. Pilots calculate flight paths. These are practical tools used in many careers.


14 more pages in this lesson

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