Summing cosines of sines and cosines

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matlabber
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Homework Statement



\sum_{t=0}^{n-1}cos2 \pi ft(x_{t}- \mu-Acos2 \pi ft-Bsin2 \pi ft)

Homework Equations


The Attempt at a Solution


I know to set = 0
I just am not knowing what to do with the cos after the sum...how do I take this sum?
 
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hi matlabber! :smile:

i suspect they mean \sum_{t=0}^{n-1}(cos2 \pi ft)(x_{t}- \mu-Acos2 \pi ft-Bsin2 \pi ft) :wink:
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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