Mathematical Methods: Units 1 and 2

Further Symmetry Properties and Pythagorean Identity

Circular functions

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Circular functions
About this lesson
This video looks at the further symmetry properties of circular functions and how we can form the Pythagorean Identity using the Unit Circles. Part of the series relating to Circular Functions for the Year 11 (VCE) Units 1 and 2 Mathematical Methods course, I take a look at how we can find angles either side of pi on 2 in the unit circle. I then use concrete examples to demonstrate how to use the formulas. I also show how we can find the Pythagorean Identity and then use it in some worked examples. All theory is explained in an easy to understand way to help you smash maths.

Lesson chapters
  1. Welcome
  2. Learning objectives
  3. Recap of past learning
  4. Further symmetry properties
  5. Example 1a
  6. Example 1b
  7. Example 1c
  8. The Pythagorean Identity
  9. Example 2a
  10. Example 2b
  11. Learning Objectives: Reviewed

Legal (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

Video details
  • Title Further Symmetry Properties and Pythagorean Identity
  • Section Circular functions
  • Course Mathematical Methods: Units 1 and 2

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