Trigonometric functions
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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 step-by-step feedback to diagnose incorrect steps.
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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.]
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Sum and Difference Identities for Sine and Cosine
Choose the correct steps to evaluate a trigonometric expression using sum and difference identities. Use step-by-step feedback to … diagnose incorrect steps.
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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. Relate the values in the equation to changes in the graph, and also to terms such … as amplitude, period, and frequency.
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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.
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Unit Circle
Explore the relationship between the unit circle and the graphs of the sine, cosine, and tangent functions.
