Trigonometric functions

Cosine Function
Compare the graph of the cosine function with the graph of the angle on the unit circle. Drag a point along the cosine curve and see … the corresponding angle on the unit circle.
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Simplifying Trigonometric Expressions
Choose the correct steps to simplify a trigonometric function. Use stepbystep feedback to diagnose incorrect steps.

Sine Function
Compare the graph of the sine function with the graph of the angle on the unit circle. Drag a point along the sine curve and see … the corresponding angle on the unit circle.
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Sound Beats and Sine Waves
Listen to and see interference patterns produced by sound waves with similar frequencies. Test your ability to distinguish and match sounds … as musicians do when they tune their instruments. Calculate the number of "sound beats" you will hear based on the frequency of each sound. [Note: Headphones are recommended for this Gizmo.]

Sum and Difference Identities for Sine and Cosine
Choose the correct steps to evaluate a trigonometric expression using sum and difference identities. Use stepbystep feedback to … diagnose incorrect steps.

Tangent Function
Compare the graph of the tangent function with the graph of the angle on the unit circle. Drag a point along the tangent curve and see … the corresponding angle on the unit circle.
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Translating and Scaling Sine and Cosine Functions  Activity A
Experiment with the graph of a sine or cosine function. Explore how changing the values in the equation can translate or scale the graph … of the function.

Translating and Scaling Sine and Cosine Functions  Activity B
Explore the graph of a sine or cosine function. Vary the terms of the equation and examine how the graph changes. Find the … amplitude, period, and frequency of the function.

Unit Circle
Explore the relationship between the unit circle and the graphs of the sine, cosine, and tangent functions.
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