Question

does it make sense that sin(-0)= -sin0

Answer 1

Yes, $\sin x$ is an odd function, which means $\sin (-x)=-\sin x$.

Also, $-0=0$ and $\sin0=0$, so it's true that $\sin(-0)=-\sin0$ because $\sin(-0)=\sin0=0=-0=-\sin0$.