Trigonometry
Law of Sines - Trigonometry
Learn the law of sines with examples, step-by-step guide, and calculator tools. Relate sides and angles in any triangle
The law of sines is a fundamental concept in trigonometry. Relate sides and angles in any triangle. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}\]
Variables
a, b, c
Side lengths
A, B, C
Angles opposite to sides
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → If a=7, A=40°, B=60°, then b = 7×sin(60°)/sin(40°) ≈ 9.45
Example 2
Example 2: 9.45
Frequently Asked Questions
What is the law of sines?
Relate sides and angles in any triangle
How do I calculate law of sines?
Use the formula: \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}. Follow the steps provided above.
What tools can help with law of sines?
We provide online calculators: calculator