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△ Trigonometry

Law of Sines

Side over sine of opposite angle

Formula

a/sin A = b/sin B = c/sin C

Side over sine of opposite angle

Example

  • a=10, A=30°, B=45°
  • b = 10×sin45°/sin30° ≈ 14.14
Result ≈ 14.14
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Grade 10 Law of Sines

Grade 10 · Law of Sines

Easy 20 questions Worksheet #18370 For Law of Sines

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MathDigits Worksheet

Grade 10 · Law of Sines

Easy · 20 questions · Worksheet #18370 · Law of Sines

Name: ________________________

Date: ______________ Score: ______

  1. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  2. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  3. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  4. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  5. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  6. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  7. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  8. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  9. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  10. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  11. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  12. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  13. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  14. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  15. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  16. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  17. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  18. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  19. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________
  20. fill Using Law of Sines: a/sin A = b/sin B. If a = 10, A = 30°, B = 45°, find b. (sin45°≈0.707, sin30°=0.5)
    ______________________________

Updated July 2026

FAQs

What is Law of Sines?

Law of Sines (law of sines) is a trigonometry relationship written as Side over sine of opposite angle or a/sin A = b/sin B = c/sin C. Students use it to solve unknowns when enough values are known.

How do you calculate Law of Sines step by step?

Write Side over sine of opposite angle, substitute the known numbers carefully, then simplify. Worked walkthrough: a=10, A=30°, B=45° b = 10×sin45°/sin30° ≈ 14.14.

When is Law of Sines taught in school?

Law of Sines usually appears in trigonometry units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.

What is a real example of Law of Sines?

On this page the worked result is ≈ 14.14. Generate a formula worksheet below for more unique practice sets.

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