Question

What is the $arcsin$?

Answer 1

The inverse function $arcsin$ is the inverse of the $sine$ function when $-1\le x\le 1$.

The $sine$ function of $y$ is represented as:

$\sin \left(y\right)=x$

$\Rightarrow$ $y={\sin }^{-1}x$

Thus, the $arcsin$ function is,

$arcsin\left(x\right)={\sin }^{-1}x=y$