For triangle ABC with sides a, b, and c the Law of Cosines states the following.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**The Law of Cosines**

For triangle ABC with sides \(a\), \(b\), and \(c\), the Law of Cosines states the following:

\[ c^2 = \]

The equation box is empty, indicating an incorrect or missing answer, as shown by the red cross symbol next to it. 

**Explanation of the Law of Cosines**

The formula for the Law of Cosines is:

\[ c^2 = a^2 + b^2 - 2ab \cdot \cos(C) \]

where \(C\) is the angle opposite side \(c\).

This law is useful for finding the third side of a triangle when two sides and the included angle are known, or determining an angle when all three sides are known.
Transcribed Image Text:**The Law of Cosines** For triangle ABC with sides \(a\), \(b\), and \(c\), the Law of Cosines states the following: \[ c^2 = \] The equation box is empty, indicating an incorrect or missing answer, as shown by the red cross symbol next to it. **Explanation of the Law of Cosines** The formula for the Law of Cosines is: \[ c^2 = a^2 + b^2 - 2ab \cdot \cos(C) \] where \(C\) is the angle opposite side \(c\). This law is useful for finding the third side of a triangle when two sides and the included angle are known, or determining an angle when all three sides are known.
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