<?xml version="1.0" encoding="UTF-8"?>
<quiz>
 <!-- categoryid: 738 -->
 <question type="category"><category><text>Pre-Calc/Trig Unit 3:  Analytic Trig and Applications/5.5  Double Angle Identities</text></category></question>
 
 <!-- resourceid-resourcedataid: 6368-5774 -->
 <question type="multichoice">
    <name>
      <text>Use an identity to write the expression as a single trigonometric function ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p><strong>Use an identity to write the expression as a single trigonometric function or as a single number.<br /><br /></strong>2 cos<sup>2 </sup>22.5° - 1</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[<p><img align="middle" src="@@PLUGINFILE@@/ppg__5.50802131436__f1q1g1.jpg" /></p>]]></text>
<file name="ppg__5.50802131436__f1q1g1.jpg" encoding="base64">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</file>      <feedback format="html">
        <text><![CDATA[<p>Incorrect.  Think of "doubling" 22.5°.</p>]]></text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[<p><img align="middle" src="@@PLUGINFILE@@/ppg__5.50802131436__f1q1g2.jpg" /></p>]]></text>
<file name="ppg__5.50802131436__f1q1g2.jpg" encoding="base64">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</file>      <feedback format="html">
        <text><![CDATA[<p>Correct</p>]]></text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<p><img align="bottom" src="@@PLUGINFILE@@/ppg__5.50802131436__f1q1g3.jpg" /></p>]]></text>
<file name="ppg__5.50802131436__f1q1g3.jpg" encoding="base64">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</file>      <feedback format="html">
        <text><![CDATA[<p>Incorrect.  Think of "doubling" 22.5°.</p>]]></text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[<p><img align="middle" src="@@PLUGINFILE@@/ppg__5.50802131436__f1q1g4.jpg" /></p>]]></text>
<file name="ppg__5.50802131436__f1q1g4.jpg" encoding="base64">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</file>      <feedback format="html">
        <text><![CDATA[<p>Incorrect.  Think of "doubling" 22.5°.</p>]]></text>
      </feedback>
    </answer>
  </question>
 </quiz>
