<?xml version="1.0" encoding="UTF-8"?>

<record version="10" id="27">
 <title>cosines law</title>
 <name>CosinesLaw</name>
 <created>2001-08-18 21:30:02</created>
 <modified>2008-10-01 06:04:20</modified>
 <type>Theorem</type>
 <creator id="3" name="drini"/>
 <author id="2872" name="pahio"/>
 <author id="3" name="drini"/>
 <classification>
	<category scheme="msc" code="51M04"/>
 </classification>
 <synonyms>
	<synonym concept="cosines law" alias="law of cosines"/>
 </synonyms>
 <related>
	<object name="SinesLaw"/>
	<object name="PythagorasTheorem"/>
	<object name="DerivationOfCosinesLaw"/>
	<object name="CosinesLaw"/>
	<object name="StewartsTheorem"/>
	<object name="AlternativeProofOfTheSinesLaw"/>
	<object name="SinesLawProof"/>
	<object name="ProofOfStewartsTheorem"/>
 </related>
 <keywords>
	<term>Cosine</term>
	<term>Sine</term>
	<term>Trigonometry</term>
	<term>Triangle</term>
 </keywords>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}</preamble>
 <content>\textbf{Cosines Law.}\, Let $a$, $b$, $c$ be the sides of a triangle and $A$ the angle opposite to $a$. Then 
$$a^2 = b^2+c^2-2bc\cos A.$$

\begin{center}
\includegraphics{coslaw}
\end{center}

\textbf{Remark.}\, Cosines law is the generalised form of Pythagorean theorem, which latter concerns only the right triangles.</content>
</record>
