# Trigonometric Identities

Study with Me – Trigonometric Identities

Using Reciprocal Ratios, Pythagorean Identities, Compound Angle and Double Angle Rules to Prove Identities

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

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

Pumped for some extra practice? Here’s a revision question set on trigonometric identities for you to try at home.