Answer
The absolute maximum is $f(\frac{\pi}{2}) = 1$
There is no local maximum. There is no absolute/local minimum.
Work Step by Step
$f(x) = sin~x$, $~~0 \lt x \leq \frac{\pi}{2}$
The absolute maximum is $f(\frac{\pi}{2}) = 1$
There is no local maximum. There is no absolute/local minimum.