Unit 7 – further trigonometry

This program of learning addresses content from the focus area of Further trigonometry. The lessons and sequences in this program of learning are designed to allow students to explore trigonometry in three dimensions, introduce more complex trigonometric identities and equations including sum and difference expansions, double angle formulas and their applications.

Introduction

Further trigonometry (DOCX 8.3 MB)

Lesson 1 – sum and difference expansion formulas

• Sum and difference expansion formulas (DOCX 4.1 MB)
• Sum and difference expansion formulas – slide deck (PPTX 2.2 MB)

Lesson 2 – double angle formulas

• Double angle formulas (DOCX 2.2 MB)
• Double angle formulas – slide deck (PPTX 1.6 MB)

Lesson 3 – proving results

• Proving results (DOCX 2.1 MB)
• Proving results – slide deck (PPTX 1.6 MB)

Lesson 4 – solving trigonometric equations

• Solving trigonometric equations (DOCX 2.1 MB)
• Solving trigonometric equations – slide deck (PPTX 1.5 MB)

Lesson 5 – simplifying sums of sine and cosine functions

• Simplifying sums of sine and cosine functions (DOCX 2.5 MB)
• Simplifying sums of sine and cosine functions – slide deck (PPTX 1.6 MB)

Lesson 6 – using R sin (x ± a) or R cos (x ± a) to solve equations

• Using R sin (x ± a) or R cos (x ± a) to solve equations (DOCX 3.9 MB)
• Using R sin (x ± a) or R cos (x ± a) to solve equations – slide deck (PPTX 1.6 MB)

Lesson 7 – modelling and solving problems using trigonometry

• Modelling and solving problems using trigonometry (DOCX 2.1 MB)
• Modelling and solving problems using trigonometry – slide deck (PPTX 1.9 MB)

Lesson 8 – trigonometry in three dimensions

• Trigonometry in three dimensions (DOCX 2.4 MB)
• Trigonometry in three dimensions – slide deck (PPTX 1.8 MB)

Lesson 9 – trigonometry in three dimensions further problems

• Trigonometry in three dimensions further problems (DOCX 2.6 MB)
• Trigonometry in three dimensions further problems – slide deck (PPTX 1.8 MB)