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	<title>Sum and Difference Formulas - Revision history</title>
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	<updated>2026-04-22T22:15:14Z</updated>
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		<id>https://wiki.math.ucr.edu/index.php?title=Sum_and_Difference_Formulas&amp;diff=1156&amp;oldid=prev</id>
		<title>MathAdmin: Created page with &quot;&lt;div class=&quot;noautonum&quot;&gt;__TOC__&lt;/div&gt; == Sum and Difference Formula for Cosine==  Given two angles &lt;math&gt; \alpha \text{ and } \beta&lt;/math&gt; we have the following formulas:  ::&lt;m...&quot;</title>
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		<updated>2015-11-15T01:23:00Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;div class=&amp;quot;noautonum&amp;quot;&amp;gt;__TOC__&amp;lt;/div&amp;gt; == Sum and Difference Formula for Cosine==  Given two angles &amp;lt;math&amp;gt; \alpha \text{ and } \beta&amp;lt;/math&amp;gt; we have the following formulas:  ::&amp;lt;m...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;noautonum&amp;quot;&amp;gt;__TOC__&amp;lt;/div&amp;gt;&lt;br /&gt;
== Sum and Difference Formula for Cosine==&lt;br /&gt;
&lt;br /&gt;
Given two angles &amp;lt;math&amp;gt; \alpha \text{ and } \beta&amp;lt;/math&amp;gt; we have the following formulas:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;\cos(\alpha + \beta) = \cos(\alpha)\cos(\beta) - \sin(\alpha)\sin(\beta)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt; \cos(\alpha - \beta) = \cos(\alpha)\cos(\beta) + \sin(\alpha)\sin(\beta)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Sum and Difference Formula for Sine==&lt;br /&gt;
&lt;br /&gt;
Given two angles &amp;lt;math&amp;gt; \alpha \text{ and } \beta&amp;lt;/math&amp;gt; we have the following formulas:&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;\sin(\alpha + \beta) = \sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
::&amp;lt;math&amp;gt;\sin(\alpha - \beta) = \sin(\alpha)\cos(\beta) - \cos(\alpha)\sin(\beta)&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
  [[Math_5|'''Return to Topics Page]]&lt;/div&gt;</summary>
		<author><name>MathAdmin</name></author>
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