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`.