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What do these situations have in common? Explain.

What do these situations have in common? Explain. Periodic Functions and Trigonometry. Unit Objectives: Determine exact values for trigonometric functions: with and without a calculator Write and graph trigonometric functions

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What do these situations have in common? Explain.

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  1. What do these situations have in common? Explain.

  2. Periodic Functions and Trigonometry Unit Objectives: Determine exact values for trigonometric functions: with and without a calculator Write and graph trigonometric functions Find amplitude, period, maximums, minimums and phase shifts for periodic functions Model problems using trigonometric functions Today’s Objective: I can find a cycle, period and amplitude of periodic function.

  3. What do these situations have in common? Explain Periodic Function: A function that repeats a pattern of outputs (y-values) at regular intervals Cycle: One complete pattern Period: Horizontal length of a cycle – distance along x-axis

  4. to One cycle: or to Period: One cycle to to Period:

  5. Determine whether function is periodic. If so identify one cycle and determine the period. Not Periodic One cycle Period: to One cycle Period: to Not Periodic

  6. Maximum Midline Minimum amp. Midline: Horizontal line midway between maximum and minimum values (maximum + minimum) Half the difference between maximum and minimum Amplitude: amp. (max. – min.)

  7. One cycle: Period: Midline: Amplitude: to What is the period, the amplitude and the equation of the midline for each sound wave displayed below. One cycle: Period: Midline: Amplitude: to p.832: 7-18, 21-25

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