Prove the following identities: \[{{\operatorname{Cos}}^{2}}\frac{\pi }{8}+{{\operatorname{Cos}}^{2}}\frac{3\pi }{8}+{{\operatorname{Cos}}^{2}}\frac{5\pi }{8}+{{\operatorname{Cos}}^{2}}\frac{7\pi }{8}=2\]