$ \cos\left( 2\cos^{-1}\left(\frac{1}{5}\right) + \sin^{-1}\left(\frac{1}{5}\right) \right) = \_\_\_\_\_ $

Question

$ \frac{1}{5} $

$ \frac{-2\sqrt{6}}{5} $

$ \frac{-1}{5} $

$ \frac{\sqrt{6}}{5} $

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