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		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?action=history&amp;feed=atom&amp;title=Solution_5.2%3A1a</id>
		<title>Solution 5.2:1a - Revision history</title>
		<link rel="self" type="application/atom+xml" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?action=history&amp;feed=atom&amp;title=Solution_5.2%3A1a"/>
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		<updated>2026-04-08T00:54:15Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_5.2:1a&amp;diff=6300&amp;oldid=prev</id>
		<title>Tek at 09:05, 29 January 2009</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_5.2:1a&amp;diff=6300&amp;oldid=prev"/>
				<updated>2009-01-29T09:05:13Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 09:05, 29 January 2009&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When you cancel &amp;lt;math&amp;gt;\tan x&amp;lt;/math&amp;gt; on both sides of the equation you might lose those solutions that satisfy &amp;lt;math&amp;gt;\tan x=0&amp;lt;/math&amp;gt;. The equation to the right might therefore, potentially, have a reduced set of solutions. You should consequently use the &amp;lt;math&amp;gt;\Leftarrow&amp;lt;/math&amp;gt; arrow.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When you cancel &amp;lt;math&amp;gt;\tan x&amp;lt;/math&amp;gt; on both sides of the equation you might lose those solutions that satisfy &amp;lt;math&amp;gt;\tan x=0&amp;lt;/math&amp;gt;. The equation to the right might therefore, potentially, have a reduced set of solutions. You should consequently use the &amp;lt;math&amp;gt;\Leftarrow&amp;lt;/math&amp;gt; arrow.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;NB. It doesn't matter that it later turns out that both equations do in fact have the same set of solutions. It is what you know at the time that determines what kind of arrow you use.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tek</name></author>	</entry>

	<entry>
		<id>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_5.2:1a&amp;diff=6296&amp;oldid=prev</id>
		<title>Tek: New page: When you cancel &lt;math&gt;\tan x&lt;/math&gt; on both sides of the equation you might lose those solutions that satisfy &lt;math&gt;\tan x=0&lt;/math&gt;. The equation to the right might therefore, potentially,...</title>
		<link rel="alternate" type="text/html" href="http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_5.2:1a&amp;diff=6296&amp;oldid=prev"/>
				<updated>2009-01-29T08:35:22Z</updated>
		
		<summary type="html">&lt;p&gt;New page: When you cancel &amp;lt;math&amp;gt;\tan x&amp;lt;/math&amp;gt; on both sides of the equation you might lose those solutions that satisfy &amp;lt;math&amp;gt;\tan x=0&amp;lt;/math&amp;gt;. The equation to the right might therefore, potentially,...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;When you cancel &amp;lt;math&amp;gt;\tan x&amp;lt;/math&amp;gt; on both sides of the equation you might lose those solutions that satisfy &amp;lt;math&amp;gt;\tan x=0&amp;lt;/math&amp;gt;. The equation to the right might therefore, potentially, have a reduced set of solutions. You should consequently use the &amp;lt;math&amp;gt;\Leftarrow&amp;lt;/math&amp;gt; arrow.&lt;/div&gt;</summary>
		<author><name>Tek</name></author>	</entry>

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