The depth of water in a tank oscillates sinusoidally once every 8 hours. If the smallest depth is 11.7 feet and the largest depth is 14.3 feet, find a possible formula for the depth in terms of time t in hours. Assume that at t = 0 the water level is at the average of the depth and is rising. NOTE: Enter your answer in terms of a sine function. Enclose arguments of functions in parentheses. For example, sin(2t). Depth

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.4: Inverse Trigonometric Functions And Right Triangles
Problem 1E: For a function to have an inverse, it must be ___________. To define the inverse sine function, we...
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The depth of water in a tank oscillates sinusoidally once every
8 hours. If the smallest depth is 11.7 feet and the largest depth is
14.3 feet, find a possible formula for the depth in terms of time t
in hours. Assume that at t = 0 the water level is at the average
of the depth and is rising.
NOTE: Enter your answer in terms of a sine function.
Enclose arguments of functions in parentheses. For example, sin(2t).
Depth
Transcribed Image Text:The depth of water in a tank oscillates sinusoidally once every 8 hours. If the smallest depth is 11.7 feet and the largest depth is 14.3 feet, find a possible formula for the depth in terms of time t in hours. Assume that at t = 0 the water level is at the average of the depth and is rising. NOTE: Enter your answer in terms of a sine function. Enclose arguments of functions in parentheses. For example, sin(2t). Depth
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The depth of water in a tank oscillates sinusoidally once every 8 hours. If the smallest depth is 11.7 feet and the largest depth is 14.3 feet

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A possible formula for the depth in terms of time t in hours. Assume that at t = 0 the water level is at the average of the depth and is rising.

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