Trigonometry (SOH CAH TOA)
Use sine, cosine and tangent ratios to find missing sides and angles in right-angled triangles
What you'll learn
- 1
Imagine a ladder leaning against a wall. The ladder is the longest side — we call it the hypotenuse.
- 2
In a right-angled triangle, which side is always the longest?
- 3
Here's a right-angled triangle. The angle is marked with θ. Can you see the three sides?
- 4
SOH CAH TOA helps us remember which ratio to use. SOH means Sine = Opposite ÷ Hypotenuse.
- 5
Let's find the missing side in this triangle using SOH CAH TOA.
- 6
Drag the labels to match the sides of this triangle with SOH CAH TOA.
- 7
Which ratio would you use if you know the opposite and hypotenuse?
- 8
In a right-angled triangle with angle 30°, opposite side = 3 cm, what is the hypotenuse? (Use sin 30° = 0.5)
Practise Trigonometry (SOH CAH TOA) with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.