Solving covariance equation

hairi

New member
Joined
Jul 8, 2010
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1
Dear Sir/Madam,

I have a problem that requires your help. Referring to the covariance equation below (values are in polar form)

mean(XY)-mean(X)mean(Y)=covariance(X,Y)

where X=[x1, x2] and Y=[y1, y2], and X and Y are not independent variables.

If the known values are:
i) amplitudes and angles of x1 and x2, and mean of X
ii) amplitudes of y1 and y2
iii) covariance (X,Y)

is it possible for me to calculate the angles of y1 and y2?

I have tried various polar form identities but failed. I even tried converting to cartesian form and used the trigonometric formulas, but again to no avail. Could you please help me?
 
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