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AP Precalculus Flashcards: Sinusoidal Function Context And Data Modeling

Study Sinusoidal Function Context And Data Modeling in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the frequency of y=6cos⁡(7x)y = 6 \cos(7x)?

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ANSWER

Frequency = 72π\frac{7}{2\pi}. Frequency = B2π\frac{B}{2\pi} where B=7.

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AP Precalculus: Trigonometric and Polar Functions

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This deck focuses on Sinusoidal Function Context And Data Modeling, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

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Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 25Practice questions for this set
Daylight duration in Anchorage, Alaska, changes dramatically across seasons and can be modeled sinusoidally. Approximate daylight (hours) on the 21st: Jan 5.8, Feb 8.6, Mar 12.0, Apr 15.6, May 18.6, Jun 19.4, Jul 18.2, Aug 15.2, Sep 12.5, Oct 9.2, Nov 6.5, Dec 5.5. The maximum is 19.4 and minimum is 5.5, so amplitude is 6.95 and vertical shift is 12.45. The period is 12 months, and the phase shift should place the peak near June. Using the information given in the scenario, what period should be used to fit the data accurately?
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