Question

$y=si{n}^{-1}\left(x\right)$ is the inverse of the function y=sin(x).

• A. True
• B. False

Answer 1

The correct option is B False

Domain of y=sin (x) is R. If we try to plot $si{n}^{-1}\left(x\right)$ we find that it is not a function at all unless the domain of y = sin(x) is restricted to the domain $[\frac{-\pi }{2},\frac{\pi }{2}]$. Since the restriction of domain of the function sin(x) is not mentioned, the given statement can be considered false.