The period of $\cos(7x - 5)$ is

The function $f(x) = |\sin 4x| + |\cos 2x|$ is a periodic function with period

The period of $\sin^2 x$ is

If the period of the function $f(x) = \sin 5x \cos 3x$ is $\alpha$, then $\cos \alpha =$

The period of the function $|\sin(\pi x)|$ is

The period of the function $f(x) = \frac{x}{3} - \left[ \frac{x}{3} - 5 \right] + \frac{x}{4} - \left[ \frac{x}{4} - 5 \right] + \frac{x}{5} - \left[ \frac{x}{5} - 5 \right]$ is (where $[.]$ is the $G.I.F.$).