The period of $\sin \frac{x}{2} - \cos \frac{x}{3}$ is (in $\pi$)

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 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

The period of the function $f(x) = \cos^2(\sin x) + \sin^2(\cos x)$ is

If $n \in N$ and the period of $\frac{\cos nx}{\sin \left(\frac{x}{n}\right)}$ is $4\pi$,then $n$ is equal to

The period of $f(x) = \cos \left(\frac{x}{3}\right) + \sin \left(\frac{x}{2}\right)$ is (in $\pi$)