# How do you find the inverse of y=sinx and is it a function?

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

#### Explanation:

From the given $y = \sin x$

interchange the variables first

$x = \sin y$

then solve for y in terms of x

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

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

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

God bless...I hope the explanation is useful.