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Given x,y > 0,z in R. Define f(x,y,z)=(x...

Given `x,y > 0,z in R.` Define `f(x,y,z)=(x+y)^2/((xsin^2z+y cos^2 z)(x cos^2 z+y sin^2 z))+x/y+y/x.` Find minimum value of `f(x,y,z).`

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