Arcsine for a value

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I want to exactly determine the arcsine (sine inverse) for a value. Say I take $\sin$ for $60000$, which is approximately $-0.866$. I want to get back $60000$ from this. Taking a sine inverse will not work for obvious reasons. Is there a work around?

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The sine function is periodic, with a period of $2\pi$, so there are an infinity of real values x for which $\sin x=a$, for a given a. Also, $\sin x=\sin(\pi-x)$, so there are two values in each such interval of length $2\pi$.