#### Answer

Consider the function $f(x) = sin x,$ $0 \lt x \leq \frac{\pi}{2}$
Sketch the graph of $f(x) = sinx$ , $0 \lt x \leq \frac{\pi}{2}$ is shown below:

#### Work Step by Step

Observe the above graph,
There are no local maximum and minimum values of
And the absolute maximum of f is $f(\frac{\pi}{2})=1$