Non-calculator trigonometry using exact values

Trigonometry is everywhere—from designing buildings to coding 3D video games. In this topic, you'll learn how to work out exact values of sine, cosine, and tangent for special angles like 30°, 45°, and 60°, all without a calculator. These exact values help build a solid foundation for more advanced maths, including A-levels and beyond. Jump to the questions
Practise now
How to type your answers:
- Use
sqrt(...)
for square roots, e.g.sqrt(3)
- Use
/
for fractions, e.g.1/2
orsqrt(3)/2
- Use
*
for multiplication, e.g.4*sqrt(2)
- Your answers must be exact. No rounded decimals!
Score: 0/9