The trigonometry questions in the 2019 exam proved that many students still struggle with this topic. To improve grades an essential understanding of this core component of the course is needed. This webinar will help students to understand/revise use of the quadrant diagram for finding alternate angles. We will look at how to derive the trigonometric identities and how to work out when to use which, both to solve equations and in proof. We will also cover trigonometric proof, both in terms of how students can help themselves when practising and in the exam when they inevitably get stuck, and how best to lay out their solutions so that they will be clear and gain full marks without wasting time. The course will use examination style questions, and will include where students commonly go wrong and how to avoid making those mistakes.


  • Find alternate angles more easily and quickly using a method students understand (rather than one they’ve memorised and that may crumble under pressure).
  • Approach trigonometric proof with greater confidence (or any at all!).
  • Learn techniques for efficiency so that time can be gained and used elsewhere in the paper.
  • Improve students’ grades through success in the trigonometry questions in the 2021 examinations
COURSE DATE Online | Wednesday 09 December 2020
Online | Wednesday 03 February 2021
  • Heads of Mathematics
  • Maths Teachers
IN-SCHOOL You can also book this as an In-School Course
  • A specially prepared folder of detailed notes, practical advice and guidance
  • Notes prepared by the educational experts leading the course
  • Expert produced PowerPoint presentations
  • CPD Certificate of attendance


4.00 – 4.05pm Welcome and Introduction

4:05-4:20pm:  The unit circle

  • Go through the unit circle and how it gives us the quadrant diagram.
  • How to use the quadrant diagram to find alternate angles.
  • Derive two trigonometric identities from the unit circle.

4:20-4:35pm: Trigonometric identities for solving equations.       

  • How to derive the other trigonometric identities.
  • Working out how to use the identities to solve trigonometric equations (and then find alternate angles).
  • How to practise this topic effectively to gain fluency.

4:35-4:55pm:  Trigonometric identities for proof.                                       

  • How to approach exam questions involving trigonometric proof including particular techniques that are likely to be useful. What to do if you are stuck?
  • What not to do and how to avoid common mistakes.
  • How to present proofs so that they are rigorous and clear for the marker.
  • How to practise this topic effectively to gain fluency.

4.55-5pm: Last tips and Q and A

Julia Treen

Julia Treen has been teaching all levels of secondary maths for 8 years, including 3 years as a private tutor and has been an A-level marker for Pearson. As such she is an expert in identifying where students struggle and how to overcome these challenges. She has a particular interest in helping students to practise more efficiently and effectively.