The period of $\sin \theta \cos \theta$ 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 $G.I.F.$).

The period of $\sin ^4 x + \cos ^4 x$ is

The period of $\frac{\sin \theta + \sin 2\theta}{\cos \theta + \cos 2\theta}$ is

The value of $n \in \mathbb{Z}$ for which the function $f(x) = \frac{\sin(nx)}{\sin(x/n)}$ has $4\pi$ as its period,is

Which of the following functions has a period of $2$?