SOLUTION: VARIABLE STARS: Variable stars are ones whos brightness varies periodically. One of the most visible is R Leonis; its brightness is modeled by the function: b(t) = 7.9 - 2.1COS

Algebra ->  Trigonometry-basics -> SOLUTION: VARIABLE STARS: Variable stars are ones whos brightness varies periodically. One of the most visible is R Leonis; its brightness is modeled by the function: b(t) = 7.9 - 2.1COS       Log On


   



Question 691294: VARIABLE STARS: Variable stars are ones whos brightness varies periodically. One of the most visible is R Leonis; its brightness is modeled by the function:
b(t) = 7.9 - 2.1COS (pie over 156)t NOTE: the pie over 156 both have t.
where t is measured in days.
A- find the period of R Leonis
B- Find the maximum and minimum brightness
C- graph the function b

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
VARIABLE STARS: Variable stars are ones whos brightness varies periodically. One of the most visible is R Leonis; its brightness is modeled by the function:
b(t) = 7.9 - 2.1COS (pie over 156)t NOTE: the pie over 156 both have t.
where t is measured in days.
A- find the period of R Leonis
B- Find the maximum and minimum brightness
C- graph the function b
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1st, it's Pi, the Greek letter, not pie, the dessert.
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b(t) = 7.9 - 2.1COS (pie over 156)t
I think you mean:
b(t) = 7.9 - 2.1cos(t*pi/156)
A- find the period of R Leonis
= 2pi/(pi/156) = 312 days
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B- Find the maximum and minimum brightness
Max = 7.9 - 2.1 = 5.8
Min = 7/9 + 2.1 = 10
(more negative numbers are brighter. The sun =~ -27)
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C- graph the function b