<?xml version="1.0" encoding="UTF-8"?>
<quiz>
  <question type="gapselect">
    <name>
      <text>5.3.1.2 Amplitude, frequency and period</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p class="HELM_exercise">Exercise</p><ol class="HELM_parts"><p>The figures below show plots of the functions</p><p>\((\text{a})\,\,y=\sin x,\quad (\text{b})\,\,y=2\sin x,\quad (\text{c})\,\,y=\cos x,\quad\text{and}\quad (\text{d})\,\,y=\cos\dfrac{x}{2}\)&nbsp;<br><br></p><p><img src="@@PLUGINFILE@@/5-3-sin_plots.svg" alt="" width="417" height="292" role="presentation" class="img-responsive atto_image_button_text-bottom"><br></p><p><img src="@@PLUGINFILE@@/5-3-cos_plots.svg" alt="" width="416" height="169" role="presentation" class="img-responsive atto_image_button_text-bottom"><br><br>State the correct amplitude, frequency, and period for the four functions:

<br><br></p><p></p><li>The amplitude is [[1]], the frequency is [[5]]\(\pi\), and the period if [[9]]\(\pi\).<p></p><p></p></li><li>The amplitude is [[1]], the frequency is [[5]]\(\pi\), and the period if [[9]]\(\pi\).</li><li>The amplitude is [[2]], the frequency is [[5]]\(\pi\), and the period if [[9]]\(\pi\).<br></li><li>The amplitude is [[1]], the frequency is [[6]]\(\pi\), and the period if [[10]]\(\pi\).<br></li></ol>]]></text>
<file name="5-3-cos_plots.svg" path="/" encoding="base64">[encoded data, 99896 characters]</file>
<file name="5-3-sin_plots.svg" path="/" encoding="base64">[encoded data, 99540 characters]</file>
    </questiontext>
    <generalfeedback format="html">
      <text><![CDATA[<p>In general, functions of the form</p><p>\(y=a\sin(bx),\quad\text{and}\quad y=a\cos(bx)\)</p><p>Have amplitude equal to \(a\), frequency equal to \(\dfrac{b}{2\pi}\), and period equal to \(\dfrac{2\pi}{b}\).</p>]]></text>
    </generalfeedback>
    <defaultgrade>1</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <idnumber/>
    <shuffleanswers>1</shuffleanswers>
    <correctfeedback format="html">
      <text>Your answer is correct.</text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text>Your answer is partially correct.</text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text>Your answer is incorrect.</text>
    </incorrectfeedback>
    <shownumcorrect/>
    <selectoption>
      <text>1</text>
      <group>1</group>
    </selectoption>
    <selectoption>
      <text>2</text>
      <group>1</group>
    </selectoption>
    <selectoption>
      <text>3</text>
      <group>1</group>
    </selectoption>
    <selectoption>
      <text>4</text>
      <group>1</group>
    </selectoption>
    <selectoption>
      <text>1/2</text>
      <group>2</group>
    </selectoption>
    <selectoption>
      <text>1/4</text>
      <group>2</group>
    </selectoption>
    <selectoption>
      <text>3/4</text>
      <group>2</group>
    </selectoption>
    <selectoption>
      <text>2</text>
      <group>2</group>
    </selectoption>
    <selectoption>
      <text>2</text>
      <group>3</group>
    </selectoption>
    <selectoption>
      <text>4</text>
      <group>3</group>
    </selectoption>
    <selectoption>
      <text>6</text>
      <group>3</group>
    </selectoption>
    <selectoption>
      <text>3</text>
      <group>3</group>
    </selectoption>
  </question>
</quiz>
