Math Problem Statement
At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice.
Based on the model, what is the minimum number of hours of sunlight at this location?
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Cosine Function
Amplitude
Vertical Shift
Formulas
y = A * cos(Bx) + C
y_min = A * (-1) + C
Theorems
Properties of the Cosine Function
Amplitude and Vertical Shift in Trigonometric Functions
Suitable Grade Level
Grades 10-12
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