If f: R->R be given by f(x)=sin^2x+sin^2...

If `f: R->R` be given by `f(x)=sin^2x+sin^2(x+pi//3)+cosx\ cos(x+pi//3)` for all `x in R` , and `g: R->R` be such that `g(5//4)=1` , then prove that `gof: R->R` is a constant function.

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