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.

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.

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.

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.

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.