Question

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

Answer 1

Answer:

True

Step-by-step 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.