If `f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1,` then `(gof)(x)` is ____________

Explanation

`f(x)=sin ^{2} x+sin ^{2}(x+pi / 3)`


`+cos x cos (x+pi / 3)`


`Rightarrow quad f(x)`


`=sin ^{2} x+(sin x cos pi / 3+cos x sin pi / 3)^{2}`


`+cos x cos (x+pi / 3)`


`Rightarrow f(x)=sin ^{2} x+(frac{sin x cdot 1}{2}+frac{cos x cdot sqrt{3}}{2})^{2}`


`+cos x(cos x cos pi / 3-sin x sin pi / 3)`


`Rightarrow f(x)`


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