If $f(x)$ is a periodic function with period $T$,then the function $f(ax + b)$ where $a > 0$,is periodic with period:

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

Let $f(x) = \cos px + \sin x$ be a periodic function,then $p$ must be

Let $f(x) = \cos(ax) + \sin(x)$ be a periodic function. Then $a$ must be

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 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