Since $\sin(x)$ is always less than or equal to 1, we can simplify $y=1-|1-\sin(x)|$ into $y=1-(1-\sin(x))$. This can be simplified further into $y=\sin(x)$ so this graph is basically the graph of $y = \sin(x)$
https://www.desmos.com/calculator/gkvgoqyroz