Sine and Cosine Rule
For a triangle with sides a, b, and c and angles A, B, and C then the Sine Law Formula is,
a / Sin A = b/ Sin B = c / Sin C
Common difference between sine and cosine rule are:
Feature |
Law of Cosines |
|
---|---|---|
Applicability |
Suitable for solving triangles where you know: 2 sides and the included angle OR 3 sides. |
Suitable for solving triangles where you know: 2 angles and 1 side OR 2 sides and the included angle. |
Formula |
|
a / Sin A = b/ Sin B = c / Sin C OR a : b : c = Sin A : Sin B : Sin C |
Also, Check
Law of Cosines
Law of Cosines in Trigonometry is the fundamental law of mathematics used to find the angle of the triangle when all three sides of the triangle are given. This law is also called the Cosine Rule Or the Cosine Formula. If in a triangle the sides are a, b, and c, then law of cosine for angle A is given as:
a2 = b2 + c2 – 2bc cos A
Similarly, all other angles B and C are given. In this article, we will learn about, the Law of Cosines, the Law of Cosines formula, examples, and others in detail.
Table of Content
- What is Law of Cosines?
- Law of Cosines Formula
- Law of Cosines Proof
- How to Find Angle using Law of Cosines
- Sine Formula
- Examples Using Law of Cosines
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