Secondary maths collection

Welcome secondary maths teachers! Are you looking for quality assured resources, designed to make lesson planning easier? Spanning across multiple topics and key stages, this extensive collection, hand-picked by members of the Tes maths panel, is the perfect starting point...

Hand-picked by:

colm1405Jo MorganDaveGaleInteractive MathsCraig Barton

    Exact value of trigonometric ratios

    Lesson presentations and activities

    • This worksheet encourages students to become familiar with 'special triangles' to calculate exact trig values without a calculator. By focusing on multiples of 30, 45 and 60, it also helps students spot symmetry in graphs. I created this resources to introduce double angle formula/additonal formula. Answers attached :)

      • Finding exact values of cosx - discovery learning sheet.docx
      • Finding exact values of sinx - discovery learning sheet.docx
      • Finding exact values of tanx - discovery learning sheet.docx


      dubey2 years ago5

      Very nicely laid out. Really useful. Thanks

      TES Resource Team2 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

      danwalker3 years ago5

      Very well thought out and presented.

    • Foundation tier now requires students to know the exact values in surd form of specific angles.
      A simple and clear illustration of how to derive these values, and the values themselves.
      Easy to use in the classroom, or print slides for crib sheets for learners.
      The specs require:
      '•know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°
      •know the exact value of tan θ for θ = 0°, 30°, 45° and 60 '
      Includes a recap of the trig functions and Pythagoras, and the graphs of each function to show values at zero and ninety degrees, plus showing that tan 90 does not exist.
      Plus an activity to use the above values in sin and cos sum and difference formulas, giving practice in manipulating surds for higher candidates, and an extension to use the addition and subtraction formula for tangent.
      Hence entirely suitable for A'level pure mathematics, and recap of GCSE knowledge and skills.
      If you like this, try my big bundle of material on surds for £3.

      • exact-values-of-sin-cos-tan.docx
      • exact-values-of-sin-cos-tan.pdf
      • trig-values-questions.pptx
      • Surds-in-trigonometry.pptx


      Judy0874 months ago5

      Perfect ! thanks you. Teaching this on ZOOM this evening . Really like this method.

      rebeccajary6 months ago5

      Thank you! Exactly what I needed.

      naoshinhaque2510 months ago5

    • This lesson is for practicing using exact trig values as will be expected in the new GCSE
      (it has some harder extension questions available to stretch pupils who require it). There are some quick fire questions to start in order to see who has memorised them and identify the methods that they use. This is after a lesson which focussed on how to find the value (using shapes and the finger method). The codebreaker I have attached is a resource I found on TES and therefore I take no credit for it.

      • Using-Exact-Trig-Values.pptx
      • Trigonometry-Exact-Values-CodeBreaker.pdf


      suzyness8 months ago5

      Thank you for creating this! Really helpful :)

      Gimbletron10 months ago4

      Hats off to Miss Brookes for incorporating a clever code-breaker!
      Perhaps a couple of questions giving 2 sides to find the angle would be good?

      dibdab67a year ago5

      So so so good :)

    • Full lesson on finding and using the 3 trigonometric ratios that has been added to the new GCSE Maths specification.

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      Visit for

      - Lessons and worksheets suitable for the 9 - 1 GCSE Specification
      - A-Level teaching resources for Core 1, Core 2, Core 3, Core 4, Decision 1 and Statistics 1
      - Teaching resources for Level 3 Core Mathematics
      - Schemes of work for Higher and Foundation GCSE Maths (adapted for the 9 - 1 specification)
      - Topic tests for GCSE Maths and A-Level Maths
      - Support for the teaching and coursework in GCSE Statistics

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      • Finding-the-trigonometric-ratios.pptx


      londonsecondarya year ago5

      nazish_khaalid2 years ago5

      Thank you for sharing :)

      TES Resource Team2 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

    • PowerPoint and worksheet explaining where special trig ratios come from. I created these for use with my Y11 class who are taking Level 2 Certificate in Further Maths. To print of worksheet, must click 'print to scale'.

      • Angles of 30, 60 and 45 degrees.pptx
      • Triangles of 30,45 and 60 degrees proofs.pptx


      londonsecondarya year ago5

      TES Resource Team2 years ago5

      Thank you for publishing your resource. It has been selected to be featured in a new secondary maths collection.

      anjalehmann4 years ago4

      Good animated powerpoint with diagrams to introduce how to derive exact trig values. Could easily by adapted to needs.

    Practice questions, homeworks and assessments