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The range of (sin x-cos x)^(2)+cos^(2)((...

The range of `(sin x-cos x)^(2)+cos^(2)((pi)/(4)-x)` is
A) `[1,2]`
B) `[-(1)/(4),(3)/(4)]`
C) `[(3)/(4) , 1]`
D)`[(3)/(2),2]`

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