looks 2pi/3 at first sight?
\hspace{-16}$Period of the function $\mathbf{f(x)},$ Where \\\\ $\mathbf{f(x) = \cos^7 (x)+cos^{7}\left(x+\frac{2\pi}{3}\right)+cos^{7}\left(x+\frac{4\pi}{3}\right)}$
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\hspace{-16}$Period of the function $\mathbf{f(x)},$ Where \\\\ $\mathbf{f(x) = \cos^7 (x)+cos^{7}\left(x+\frac{2\pi}{3}\right)+cos^{7}\left(x+\frac{4\pi}{3}\right)}$