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Periodic Functions A periodic function is a function for which there is a repeating pattern of y-values over equal intervals of x. Each complete pattern.

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Presentation on theme: "Periodic Functions A periodic function is a function for which there is a repeating pattern of y-values over equal intervals of x. Each complete pattern."— Presentation transcript:

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2 Periodic Functions A periodic function is a function for which there is a repeating pattern of y-values over equal intervals of x. Each complete pattern is called a cycle. AmplitudeOne-half of the positive difference between the maximum and the minimum y-values. PeriodThe length of the interval of x-values over which the function completes one cycle. Maximum y = 3 Minimum y = -2 One Cycle

3 Sine Function and the Unit Circle Comparing the unit circle and the graph of the sine function is like comparing a globe and a map.

4 Basic Sine Curves Frequency is the number of cycles that the graph completes in an interval of (maximum height) (Number of radians to complete one cycle)

5 Basic Cosine Curves Frequency is the number of cycles that the graph completes in an interval of (maximum height) (Number of radians to complete one cycle)

6 Comparison of Sine & Cosine

7 Homework Page 453: 3 - 18

8 Sketching Sine Curves

9 Sketching Cosine Curves

10 Sketching Negative Sine & Cosine Curves

11 Homework Sketch each function


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