Let \(f(x)=6+16 \cos \left(\frac{\pi}{3}-x\right) \cos \left(\frac{\pi}{3}+x\right) \cos x \sin 3 x \cos 6 x\) if range …

Let \(f(x)=6+16 \cos \left(\frac{\pi}{3}-x\right) \cos \left(\frac{\pi}{3}+x\right) \cos x \sin 3 x \cos 6 x\) if range of \(f(x)\) is \([\alpha, \beta]\) then distance of \((\alpha, \beta)\) from \(3 x+4 y+12=0\) is