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	<id>https://wiki.math.ucr.edu/index.php?action=history&amp;feed=atom&amp;title=Trigonometric_Identities</id>
	<title>Trigonometric Identities - Revision history</title>
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	<updated>2026-04-22T19:01:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://wiki.math.ucr.edu/index.php?title=Trigonometric_Identities&amp;diff=1154&amp;oldid=prev</id>
		<title>MathAdmin: Created page with &quot;&lt;div class=&quot;noautonum&quot;&gt;__TOC__&lt;/div&gt; == List of identities==  Given two functions f and g, we say f = g if f(x) = g(x) for all every x in the domain of both f and g.   Quotien...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.math.ucr.edu/index.php?title=Trigonometric_Identities&amp;diff=1154&amp;oldid=prev"/>
		<updated>2015-11-15T01:09:56Z</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; == List of identities==  Given two functions f and g, we say f = g if f(x) = g(x) for all every x in the domain of both f and g.   Quotien...&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;
== List of identities==&lt;br /&gt;
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Given two functions f and g, we say f = g if f(x) = g(x) for all every x in the domain of both f and g.&lt;br /&gt;
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Quotient identities:&lt;br /&gt;
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::&amp;lt;math&amp;gt;\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} ~ \cot(\theta) = \frac{\cos(\theta)}{\sin(\theta)}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Reciprocal Identities:&lt;br /&gt;
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::&amp;lt;math&amp;gt; \csc(\theta) = \frac{1}{\sin(\theta)}~\sec(\theta) = \frac{1}{\cos(\theta)}~\cot(\theta) = \frac{1}{\tan(\theta)}&amp;lt;/math&amp;gt;&lt;br /&gt;
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Pythagorean Identities:&lt;br /&gt;
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::&amp;lt;math&amp;gt;\sin^2(\theta) + \cos^2(\theta) = 1~ \tan^2(\theta) + 1 = \sec^2(\theta)~ \cot^2(\theta) + 1 = \csc^2(\theta)&amp;lt;/math&amp;gt;&lt;br /&gt;
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Even-Odd:&lt;br /&gt;
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Sine, Cosecant, Tangent, and Cotangent are all odd functions, so f(-x) = -f(x). The other two trigonometric functions cos and secant are even, so f(-x) = f(x)&lt;br /&gt;
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  [[Math_5|'''Return to Topics Page]]&lt;/div&gt;</summary>
		<author><name>MathAdmin</name></author>
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