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NX-01
Math help please explain how this works?
Alex must calculate exactly what day the moon will be completely in its new phase. On the back of a map Alex finds a plot of the moons output of light intensity for the past forty-two days since the first of April (7, 0.5), (14, 1.0), (21, 0.5), (28, 0.0), (35, 0.5), (42, 1.0).
b = π/14 is the amount of light intensity change per period
1/2 (42 + 28) = 35
b ∙ (c+2π)/b=35∙b
c + 2π= 35π/2
c = (35π-2π)/2
c = 33π/2
d = 1/2 (1.0 + 0.0) =1/2
a=1/2, b=π/14, c=33π/2, d= 1/2
y = 1/2 + 1/2 sin[π/2 (x-33)]
With this equation, the next day without light can be found
It has been 42 days since April 1st
42+14= 56, where 42 is the days past and 14 is two weeks from then
y = 1/2 + 1/2 sin[π/2 (x-33)]
y= 1/2 + 1/2 sin[π/2 (56-33)]
y= 1/2 + 1/2 sin[π/2 (23)]
y = 1/2 + 1/2 (-0.99)
y = 0.005, which would be the day with the least light
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