Is the sentence true or false?

$h(x)=\cos\cos x$ is increasing on $[0,\pi]$ .

Select the interval on which  $f(x)=\cos\cos\frac{x}{3}$ is decreasing?

Select the interval on which $g(x)=\cos\cos2x$   is increasing?

Select the interval on which $f(x)=5+\cos\cos\ \frac{x}{2}$   is decreasing?

Select the interval on which $f(x)=\cos\cos\frac{x}{2}$ is decreasing?

 Select the interval on which $g(x)=\cos\cos2x$ is decreasing?

Select the interval on which  $f(x)=\cos\cos x$  is increasing?

Select the interval on which   $f(x)=\cos\cos\ \frac{x}{3}$ is increasing?

Select the interval on which  $f(x)=\cos\cos\frac{x}{2}$ is increasing?

Select the interval on which  $f(x)=\frac{x}{2}$   is increasing?