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Mathematics Worksheet

📐 Trigonometric Ratios

Chapter: Trigonometry · Level ★★☆ · Time: 30 min
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After this worksheet you can
Use SOH-CAH-TOA to define sin, cos and tan.Identify the opposite, adjacent and hypotenuse.Compute a ratio from side lengths.Recall what each mnemonic stands for.
📚 Quick Recap

Trigonometric ratios connect the angles of a right triangle to the ratios of its side lengths — the foundation for everything else in trigonometry.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1A right triangle has opposite 5 and hypotenuse 13. sin A =:
2A right triangle has adjacent 12 and hypotenuse 13. cos A =:
3A right triangle has opposite 5 and adjacent 12. tan A =:
4CAH stands for:
adjacent = 4 opposite = 3 hypotenuse = 5 θ A 3-4-5 right triangle: 3² + 4² = 5²

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5sin A = opposite / .
6cos A = / hypotenuse.
7A triangle has opposite 5, hypotenuse 13. Find sin A.
8A triangle has adjacent 12, hypotenuse 13. Find cos A.
9A triangle has opposite 5, adjacent 12. Find tan A.

🚀 Section C · Challenge ● CHALLENGE 5

10What does CAH stand for?
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 hypotenuse   6 adjacent   7 = 5/13 ≈ 0.385   8 = 12/13 ≈ 0.923   9 = 5/12 ≈ 0.417  |  10 = Cosine = Adjacent/Hypotenuse

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