Law of sines
Relates the length of each side of any triangle to the sine of its opposite angle, with all three ratios equal. It is used to solve triangles when two angles and a side, or two sides and a non-included angle, are known.
\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}What the symbols mean
| lengths of the sides of the triangle, opposite angles A, B and C respectively | |
| interior angles of the triangle at the vertices opposite sides a, b and c |
About this formula
- FieldMathematics
- TopicTrigonometry
- LevelHigh school
- Also calledsine law, sine rule, sine formula
- SourceWikidata Q170181
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “law of sines”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.