1. In a right-angled triangle, opposite = 3, adjacent = 4. What is tan(θ)? (2 marks)
Edexcel IGCSEworksheethard
Trigonometry: Right-Angled Triangles
SOH-CAH-TOA and Pythagoras practice for right-angled triangles.
Mathematics · Trigonometry · Year 11 · 35 mins · 24 marks · 10 questions
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In a right-angled triangle, opposite = 3, adjacent = 4. What is tan(θ)? (2 marks)
sin(θ) = opposite / ? (2 marks)
A right triangle has legs 5 and 12. Find the hypotenuse. (2 marks)
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2. sin(θ) = opposite / ? (2 marks)
- adjacent
- hypotenuse
- opposite
- base
3. A right triangle has legs 5 and 12. Find the hypotenuse. (2 marks)
4. cos(60°) = ? (2 marks)
- 0
- 1/2
- √3/2
- 1
5. sin(30°) = ? (2 marks)
6. A ladder leans against a wall. Base is 3 m from wall, ladder is 5 m long. Height up the wall is: (3 marks)
7. In a right triangle, hypotenuse = 10, opposite = 6. sin(θ) = ? (2 marks)
8. tan(45°) = ? (2 marks)
- 0
- 1/2
- 1
- √3
9. In a right-angled triangle, the adjacent side to angle θ is 8√3 and θ = 30°. Find the hypotenuse. (3 marks)
10. Which identity is correct? (4 marks)
- sin²θ + cos²θ = 1
- sin²θ − cos²θ = 1
- tanθ = cosθ/sinθ
- sinθ = adjacent/hypotenuse
Show answer key
- 1. 3/4
- 2. hypotenuse
- 3. 13
- 4. 1/2
- 5. 1/2
- 6. 4 m
- 7. 0.6
- 8. 1
- 9. 16
- 10. sin²θ + cos²θ = 1
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