# How do you evaluate sin(sin^-1(-4/7))?

$- \frac{4}{7}$
${\sin}^{-} 1 x \text{ is the " color(blue)"inverse" " of } \sin x$
In this context $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\sin \left({\sin}^{-} 1 x\right) = x} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
$\Rightarrow \sin \left({\sin}^{-} 1 \left(- \frac{4}{7}\right)\right) = - \frac{4}{7}$