Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function b(t) = 8.5 – 2.6 cos( t) 158 where t is measured in days. (a) Find the period. days (b) Find the maximum and minimum brightness. (minimum) (maximum) (c) Graph the function b. 8,5 316 79 8.5- 8.5

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.6: Modeling Harmonic Motion
Problem 42E
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Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function
b(t) = 8.5 – 2.6 cos( t)
158
where t is measured in days.
(a) Find the period.
days
(b) Find the maximum and minimum brightness.
(minimum)
(maximum)
(c) Graph the function b.
8,5
316
79
8.5-
8.5
Transcribed Image Text:Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function b(t) = 8.5 – 2.6 cos( t) 158 where t is measured in days. (a) Find the period. days (b) Find the maximum and minimum brightness. (minimum) (maximum) (c) Graph the function b. 8,5 316 79 8.5- 8.5
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