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Technology 
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The Unit Circle, Sine, and Cos...

The Unit Circle (Trigonometry) 
Flash 
Support Material 

[0]

This minilesson explains the relationship of sine and cosine to the unit circle.
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Cosine Box

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[1]

Applet that provides a visualization of the cosine function. Also can be used as a cosine calculator (degrees). Includes short activity in solving cos(x) = k equations.
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Cosine Engine

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

With this applet, students study the extrema of the function A cos^2 (t) + B cos(t) + C. A parabola is drawn with studentsupplied coefficients and constant, and the unit circle is drawn below, so th...
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Crane Ship

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[1]

Applet teaches an intuitive feel for the geometric length of sin(t) given the length of the hypotenuse and t. A crane is stationed on a ship. Its wire has the length of sin(t), where t is the angle ...
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Ferris Wheel

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[2]

This aplet is an introduction to trigonometric functions. A small red gondola moving around a ferris wheel can be viewed from different angles.
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Formula for sin(A+B)

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

This applet teaches students geometrically that sin(A+B) = sin(A)cos(B) + cos(A)sin(B). Students can change the values of A and B.
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Inequalities of Cosine

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

This applet shows geometrically the solution set to inequalities cos t >= a or cos t <= a. The function graph is also displayed and updated.
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Sine Box

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Applet that provides a visualization of the sine function. Also can be used as a sine calculator (degrees). Includes short activity in solving sin(x) = k equations.
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Six Trig Functions

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

This applet displays the six trig functions (sin, cos, tan, sec, csc, and cot) on the unit circle (degree measure).
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Tangent Box

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Applet that provides a visualization of the tangent function. Also can be used as a tangent calculator (degrees).
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The Graph of y = cos x

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Applet that shows the connection between the unit circle and the graph of the cosine function (degrees).
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The Graph of y = sin ax

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Applet shows the connection between the unit circle and the graph of the sine function. Different coefficients of x modify the rate at which the graph is drawn, making it stretch or shrink along the ...
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The Graph of y = sin x

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[2]

Applet that shows the connection between the unit circle and the graph of the sine function (degrees)
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The Graph of y = sin x + cos x

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[2]

Applet geometrically demonstrates the construction of the graph y = sin x + cos x.
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The graph of y = tan x

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[1]

This applet plots a graph of y = tan x along with a display of the unit circle in order to show the connection between the two. No units are given, but the function graph is in radians.
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WebGrapher

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

This is a Java graphing applet that can be used online or downloaded. The purpose it to construct dynamic graphs with parameters controlled by user defined sliders that can be saved as web pages or em...
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a sin x + b cos x

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Geometric calculation of a sin x + b cos x (coefficients entered by student). Graph is shown on right.
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cos t = a

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Given the cosine of t, students guess t (in degrees) in this Java applet.
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sin t = a

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

Given the sine of t, students guess t (in degrees) in this Java applet.
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sin t >= a

The Unit Circle (Trigonometry) 
Java Applet 
Tool 

[0]

This applet shows geometrically the solution set to an inequality sin t >= a. The graph of sine is also displayed to the right and updated. Measurements in degrees only.
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Exploring Trigonometric Functi...

The Unit Circle (Trigonometry) 
Sketchpad 
Activity 

[1]

This activity has students geometrically construct and investigate the graphs of sine and cosine based upon the lengths of the sides of a reference triangle.
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Ferris Wheel Notice/Wonder

The Unit Circle (Trigonometry) 
TINspire 
Tool 

[0]

Students write what they notice and wonder about a person riding a Ferris wheel, and then use TINspire™ technology to measure quantities and develop a mathematical model describing the situation.
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Graphs of Sine, Cosine, and Ta...

The Unit Circle (Trigonometry) 
TINspire 
Activity 

[0]

Students are introduced to the shapes of the sine, cosine, and tangent graphs. They will use a unit circle to calculate the x and y lengths of a triangle placed at different values along the circle. T...
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Math Forum Teacher Packet: TI ...

The Unit Circle (Trigonometry) 
TINspire 
Lesson Plan 

[0]

This packet contains a copy of the original problem used to create the activity, rationale and explanation behind the “Make a Mathematical Model” focal activity, and some thoughts on why this activity...
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