MathsYears 10–11Geometry - Properties of Shapes

Exact trigonometric values

Know and use exact values of sin, cos and tan for 0, 30, 45, 60 and 90 degrees

What you'll learn

  1. 1

    Imagine a square with side length 1. Cut it diagonally — you get two right-angled triangles with angles 45°, 45°, 90°.

  2. 2

    What is sin 45°?

  3. 3

    Let's find sin 30°, cos 30°, and tan 30° using an equilateral triangle split in half.

  4. 4

    Drag the sides of this 30-60-90 triangle to match the correct lengths.

  5. 5

    What is cos 60°? (Hint: it's the same as sin 30°)

  6. 6

    Now let's find sin 0°, cos 90°, and tan 45° using the unit circle.

  7. 7

    Which of these is CORRECT?

Practise Exact trigonometric values with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.