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Iff(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi...

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

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To solve the problem, we need to find the composition of two functions \( g(f(x)) \) given that \( f(x) = \sin^2 x + \sin^2(x + \frac{\pi}{3}) + \cos x \cos(x + \frac{\pi}{3}) \) and \( g\left(\frac{5}{4}\right) = 1 \). ### Step 1: Simplify \( f(x) \) Start with the function \( f(x) \): \[ f(x) = \sin^2 x + \sin^2\left(x + \frac{\pi}{3}\right) + \cos x \cos\left(x + \frac{\pi}{3}\right) ...
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