The period of $|\sin 2x|$ is

The period of $\sin^2 x$ is

The period of the function $\sin \left( \frac{\pi x}{2} \right) + \cos \left( \frac{\pi x}{2} \right)$ is

The period of $\left(\tan \theta - \frac{1}{3} \tan^3 \theta\right) \left(\frac{1}{3} - \tan^2 \theta\right)^{-1}$,where $\tan^2 \theta \neq \frac{1}{3}$,is

The period of $|\cos x|$ is

The period of $f(x) = x - [x]$,if it is periodic,is