Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function cos(5a) b(t) = 8.7 - 2.9

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) = 8.7 – 2.9 cos(a)
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.
b
8.7
8.7
t
t
308
308
b
b
8.7
t
308
1
77
Transcribed Image Text:Variable stars are ones whose brightness varies periodically. The brightness of a certain star is modeled by the function b(t) = 8.7 – 2.9 cos(a) 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. b 8.7 8.7 t t 308 308 b b 8.7 t 308 1 77
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