Answer
$-\frac{2}{\pi}$
Work Step by Step
The general formula for average rate of change from $x$ to $y$ is $\frac{f(y)-f(x)}{y-x}.$
Hence here:
$\frac{\cos(\frac{\pi}{2})-\cos(0)}{\frac{\pi}{2}-0}=\frac{0-1}{\frac{\pi}{2}}=-\frac{2}{\pi}.$