Question

Question #73ed2

Answer 1

The answer is undefined.

Explanation:

Some people might say that the answer is `25/24`, and technically, they aren't wrong, because:

`f(f^-1(x))=x`

and in this case:

`sin(sin^-1(25/24))=25/24`

But this actually isn't true. If you try to simplify the problem, you'll find that the domain of `sin^-1x` is [`-1`, `1`], and `25/24` is outside of that (basically, `sin^-1` literally can't take in numbers bigger than `1` or smaller than `-1`).

Therefore, it cannot be simplified further.