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Precalculus TR accessibility (#920)
* Merge precalculus-prefigure * TR1 images * TR2 images * TR5 graphs * Finish TR5 * Oops forgot to stage. Actually finish TR5 --------- Co-authored-by: jkostiuk <kostiuk.jordan@gmail.com>
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‎requirements.txt‎

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pretext == 2.36.0
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pretext[prefigure] == 2.36.0
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CodeChat-Server == 0.2.25
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pelican == 4.11.0
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markdown == 3.7.0

‎source/precalculus/source/06-TR/01.ptx‎

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</introduction>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(pi/2,reference_angle=pi/4,show_axes=False)
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle1">
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<xi:include href="prefigure/TR1-angle1.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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<li><p><m>45^{\circ}</m> </p></li>
@@ -53,12 +52,11 @@ TBIL.plot_angle(pi/2,reference_angle=pi/4,show_axes=False)
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</task>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(pi,reference_angle=-pi/6,show_axes=False)
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle2">
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<xi:include href="prefigure/TR1-angle2.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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<li><p><m>45^{\circ}</m> </p></li>
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</task>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(135*pi/180,reference_angle=pi/2,show_axes=False)
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle3">
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<xi:include href="prefigure/TR1-angle3.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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<li><p><m>45^{\circ}</m> </p></li>
@@ -101,21 +98,19 @@ TBIL.plot_angle(135*pi/180,reference_angle=pi/2,show_axes=False)
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<p>
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An angle is in <term>standard position</term> if its vertex is located at the origin and its initial side extends along the positive <m>x</m>-axis.
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</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(5*pi/4)
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</sageplot>
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</image>
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<p>
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An angle measured counterclockwise from the initial side has a positive measure, while an angle measured clockwise from the initial side has a negative measure.
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</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(-3*pi/4)
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle4">
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<xi:include href="prefigure/TR1-angle4.xml"/>
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</prefigure>
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</image>
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<p>
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An angle measured counterclockwise from the initial side has a positive measure, while an angle measured clockwise from the initial side has a negative measure.
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</p>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle5">
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<xi:include href="prefigure/TR1-angle5.xml"/>
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</prefigure>
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</image>
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</statement>
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</definition>
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@@ -127,11 +122,10 @@ TBIL.plot_angle(-3*pi/4)
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</introduction>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(pi/4)
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle6">
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<xi:include href="prefigure/TR1-angle6.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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</task>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(-pi)
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle7">
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<xi:include href="prefigure/TR1-angle7.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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</task>
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<task>
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<statement>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(-5*pi/6)
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle8">
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<xi:include href="prefigure/TR1-angle8.xml"/>
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</prefigure>
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</image>
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<p>
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<ol marker="A." cols="4">
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<p> Draw an angle of measure <m>-225^{\circ} </m> in standard position.
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</p></statement>
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<answer>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(-225*pi/180)
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-angle9">
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<xi:include href="prefigure/TR1-angle9.xml"/>
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</prefigure>
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</image>
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</answer>
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</task>
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</activity>
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A <term>central angle</term> is an angle whose vertex is at the center of a circle.
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</p>
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<image width="50%">
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<sageplot>
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<xi:include parse="text" href="../../../common/sagemath/library.sage"/>
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p=TBIL.plot_angle(2*pi/3,show_unit_circle=True,show_angle_value=False,degree_labels=False)
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p
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</sageplot>
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</image>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-central-angle">
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<xi:include href="prefigure/TR1-central-angle.xml"/>
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</prefigure>
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</image>
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</statement>
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</definition>
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One <term>radian</term> is the measure of a central angle of a circle that intersects an arc the same length as the radius.
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</p>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR1-radian">
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<xi:include href="prefigure/TR1-radian.xml"/>
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</prefigure>
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</image>
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<image width="50%">
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<sageplot>
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<xi:include parse="text" href="../../../common/sagemath/library.sage"/>
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p=TBIL.plot_angle(1,show_unit_circle=True,show_angle_value=True,degree_labels=False)
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p+=arc((0,0),1,sector=(0,1),color="blue",thickness=2)
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p+=text("$r$",(0.5,0.07),fontsize=20)
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p+=text("$r$",(0.87,0.6),fontsize=20)
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p
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</sageplot>
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</image>
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</statement>
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</definition>
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‎source/precalculus/source/06-TR/02.ptx‎

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<activity>
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<statement>
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<p> Consider the angle given below:</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(-7*pi/4,show_axes=True)
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-angle1">
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<xi:include href="prefigure/TR2-angle1.xml"/>
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</prefigure>
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</image>
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<p>Which of the following angles describe the plotted angle?</p>
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<ol marker="A." cols="4">
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<activity>
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<introduction>
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<p> Consider the angle given below:</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True)
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-angle2">
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<xi:include href="prefigure/TR2-angle2.xml"/>
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</prefigure>
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</image>
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</introduction>
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<task>
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<activity>
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<introduction>
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<p>Consider the portion of a circle of radius <m>1</m> graphed below.</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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p=TBIL.plot_angle(pi/2,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
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p+=arc((0,0),1,sector=(0,pi/2),color="blue",thickness=3)
132-
p+=text("$1$", (0.5,0.05),color="black")
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p
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length1">
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<xi:include href="prefigure/TR2-arc-length1.xml"/>
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</prefigure>
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</image>
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</introduction>
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<task>
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<activity>
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<introduction>
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<p>Consider the portion of a circle of radius <m>3</m> graphed below.</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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p=TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
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p+=arc((0,0),1,sector=(0,pi/3),color="blue",thickness=3)
183-
p+=text("$3$", (0.5,0.05),color="black")
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p
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length2">
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<xi:include href="prefigure/TR2-arc-length2.xml"/>
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</prefigure>
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</image>
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</introduction>
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<task>
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<activity>
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<introduction>
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<p>Consider the portion of a circle of radius <m>1</m> graphed below.</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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p=TBIL.plot_angle(pi/2,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
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p+=arc((0,0),1,sector=(0,pi/2),color="blue",thickness=3)
270-
p+=text("$1$", (0.5,0.05),color="black")
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p
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length12">
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<xi:include href="prefigure/TR2-arc-length1.xml"/>
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</prefigure>
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</image>
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</introduction>
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<task>
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<activity>
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<introduction>
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<p>Consider the portion of a circle of radius <m>3</m> graphed below.</p>
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<image width="50%">
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<sageplot>
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<xi:include href="../../../common/sagemath/library.sage" parse="text" />
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p=TBIL.plot_angle(pi/3,show_axes=True,show_angle_value=True,degree_labels=True,show_unit_circle=True)
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p+=arc((0,0),1,sector=(0,pi/3),color="blue",thickness=3)
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p+=text("$3$", (0.5,0.05),color="black")
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p
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</sageplot>
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<image>
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<prefigure xmlns="https://prefigure.org" label="prefigure-graph-TR2-arc-length22">
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<xi:include href="prefigure/TR2-arc-length2.xml"/>
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</prefigure>
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</image>
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</introduction>
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<task>

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