This document discusses trigonometric identities and proofs. It introduces the unit circle and shows how to graph trigonometric functions on it. It then demonstrates adding trigonometric graphs together and uses this to prove two identities by dividing terms and using known identities. The document prompts working through additional identities without hints.

1. Trigonometric Identities and proofs Additional maths Adrian Sparrow www.ibmaths.com

2. Using the unit circle r

3. Draw the graph of The graph of On the same axis: Add the graphs together to make the blue line shown below.

4. Two more identities starting with Divide by Divide by

5. Prove the following: use the identity

6. Try these with no hints