The period of the function $|\sin(\pi x)|$ 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 the function $f(x) = \log(\cos 2x) + \sin 4x$ is :-

Let $f(x) = \sin^2 x + \cos^4 x + 2$ and $g(x) = \cos(\cos x) + \cos(\sin x)$. Also,let the period of $f(x)$ and $g(x)$ be $T_1$ and $T_2$ respectively,then:

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