In one area of the Bay of Fundy, the water has a depth of 6m at high tide, and a depth of 2m at low tide. There are 12 wave cycles every 24 hours. Graph the scenario clearly showing two complete cycles. Determine both a sine and cosine equation to model the scenario. State the period, amplitude, and equation of axis, phase shift, (domain and range if applicable).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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In one area of the Bay of Fundy, the water has a depth of 6m at high tide, and a depth of 2m at low tide. There are 12 wave cycles every 24 hours.

  • Graph the scenario clearly showing two complete cycles.
  • Determine both a sine and cosine equation to model the scenario.
  • State the period, amplitude, and equation of axis, phase shift, (domain and range if applicable).
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