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
Imagine a square with side length 1. Cut it diagonally — you get two right-angled triangles with angles 45°, 45°, 90°.
- 2
What is sin 45°?
- 3
Let's find sin 30°, cos 30°, and tan 30° using an equilateral triangle split in half.
- 4
Drag the sides of this 30-60-90 triangle to match the correct lengths.
- 5
What is cos 60°? (Hint: it's the same as sin 30°)
- 6
Now let's find sin 0°, cos 90°, and tan 45° using the unit circle.
- 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.