Non-calculator trigonometry using exact values

Non-calculator trigonometry worksheet
Non-calculator trigonometry worksheet

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 or sqrt(3)/2
  • Use * for multiplication, e.g. 4*sqrt(2)
  • Your answers must be exact. No rounded decimals!
Score: 0/9