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Trigonometric Functions & Right Triangle Worksheet Maker

Generates high school and precalculus trigonometry worksheets: right triangle SOH-CAH-TOA missing sides/angles, unit circle exact values (30°, 45°, 60°), radian-degree conversions, and Law of Sines/Cosines with dynamic SVG triangle figures.

Trigonometry Practice Worksheet

Right-Triangle Trigonometry, Unit Circle & Triangle Solving Drills

Name:
Date:
Class/Period:
Score:
Instructions: Show all algebraic setup, reference ratios, and round non-exact decimals to 2 decimal places. Box your final answer.
1
In a right triangle, angle θ = 26° and opposite leg = 18 cm. Find hypotenuse c.
?18c = ?26°
Answer:
2
In a right triangle, angle θ = 37° and adjacent leg = 11 m. Find opposite leg a.
11a = ?c37°
Answer:
3
A right triangle has opposite leg a = 6 and adjacent leg b = 16. Find acute angle θ.
166cθ = ?
Answer:
4
In a right triangle, angle θ = 30° and opposite leg = 13 cm. Find hypotenuse c.
?13c = ?30°
Answer:
5
In a right triangle, angle θ = 32° and adjacent leg = 17 m. Find opposite leg a.
17a = ?c32°
Answer:
6
In a right triangle, angle θ = 50° and opposite leg = 18 cm. Find hypotenuse c.
?18c = ?50°
Answer:
7
In a right triangle, angle θ = 55° and opposite leg = 8 cm. Find hypotenuse c.
?8c = ?55°
Answer:
8
In a right triangle, angle θ = 24° and opposite leg = 7 cm. Find hypotenuse c.
?7c = ?24°
Answer:

What is Trigonometry Practice?

Trigonometry explores the relationships between side lengths and angles of triangles and cyclical phenomena modeled by periodic functions.

Worksheet practice cements foundational ratios (sine, cosine, tangent), inverse trigonometric functions, and acute angle problem solving.

Formula & Step-by-Step Calculation

\sin \theta = \frac{\text{Opp}}{\text{Hyp}}, \quad \cos \theta = \frac{\text{Adj}}{\text{Hyp}}, \quad \tan \theta = \frac{\text{Opp}}{\text{Adj}}, \quad \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

Right triangle trigonometric definitions and oblique Law of Sines.

Worked Step-by-Step Examples

Example 1

Find side x in a right triangle where hypotenuse = 10 and angle θ = 30° opposite to x

Solution: x = 5.0
• sin(30°) = x / 10
• x = 10 × sin(30°) = 10 × 0.5 = 5.0

Common Real-World & Academic Use Cases

  • ✓ High school Geometry and Algebra 2 / Trigonometry homework
  • ✓ Precalculus unit circle exact value speed drills
  • ✓ Physics vector resolution and force component practice
  • ✓ Surveying and navigation angle problem sets

How to Use the Trigonometric Functions & Right Triangle Worksheet Maker

1

Select Trig Domain

Choose SOH-CAH-TOA Missing Sides, Inverse Trig Angles, Unit Circle Exact Values, or Law of Sines/Cosines.

2

Select Problem Count

Choose 6, 8, 10, or 12 illustrated problems.

3

Print with SVG Figures

Print high-resolution triangle diagrams with angle arcs and labeled side callouts.

Frequently Asked Questions

Q: Are angle modes configurable in degrees and radians?

Yes, you can toggle between degree notation (e.g. 45°) and standard radian notation (e.g. π/4 rad).

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