Trigonometric Identities – Reciprocal, Pythagorean Identities, Compound & Double Angle Rules (Pt 1)

In this video, I will demonstrate how to prove trigonometric identities using reciprocal ratios, Pythagorean identities, complementary angle rule, compound angle and double angle rules using examples from real exams under both the Advanced Maths (2U) and Extension 1 Maths (3U) course.

In Part 1 (for both Advanced and Ext 1 students):
- Understanding the formulas given on the reference sheet and how to derive some of the missing identities not on the reference sheet
- Various examples using a combination of reciprocal ratios, Pythagorean identities and complementary angle rule
- Multi-part exam questions which involves applying the proven identity

In Part 2 (for Ext 1 students only):
- Understand the additional rules in the reference sheet and identifying the rules that are not on the reference sheet which should be remembered
- Various examples using a combination of compound angle rules and double angle rules as well as some of the 2U identities in Part 1
- Multi-part exam questions which involves applying the proven identity

As this is the first year implementation of the new Maths syllabus in NSW for 2020 HSC students, I have created this “Study with Me” series to help students prepare for the upcoming Year 11 Preliminary yearly exams. I will cover selected topics students tend to struggle with across the Advanced Mathematics (2U) course and the Extension 1 Mathematics course (3U).

This is relevant for both Year 11 and Year 12 students preparing for HSC Mathematics and HSC Maths Extension 1 for 2020 and onwards.

For extra practice questions, check out our website: