Maths Resources GCSE Worksheets


Exact Trig Values Worksheet

Exact Trig Values Worksheet

Help your students prepare for their Maths GCSE with this free exact trig values worksheet of 22 questions and answers

  • Section 1 of the exact trig values worksheet contains 14 skills-based exact trig values questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied exact trig values questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher GCSE exam style questions on exact trig values 
  • Answers and a mark scheme for all exact trig values questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
  • Interactive lessons and worksheets are available for a wide range of geometry and measure topics

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Exact trig values at a glance


The sin, cos and tan of certain angles are exact values rather than decimals. The exact trigonometric values of sin, cos and tan are:


Exact Trig Values Image 2


Knowing the exact values of sin, cos and tan allows us to use the trigonometric functions without using a calculator for certain angles. 


These values can be found by applying the trigonometric ratios of sin, cos and tan to two special triangles:


Exact Trig Values Featured Image 2Exact Trig Values Featured Image 3


For example, using the trig ratio sin(x) = opposite/hypotenuse we get sin(45) = 1/square root of 2. 


Applying each of the trig functions to these triangles will give the exact trig values for 30o, 45o and 600


Looking forward, students can then progress to additional geometry worksheets, for example an area of compound shapes worksheet or how to work out perimeter worksheet.



For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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