Question

Sin(Sin^-1 x)=x for -1<=x<=1. True or false?

Answer 1

True

Explanation:

In general, when you compose a function
`f(x)` with its inverse
`f^(-1)(x)`, you always get the identity function:

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

The limitation
`-1\leq x \leq 1` is necessary because the arcsin function wouldn't be defined otherwise.