7. $\arcsin \left(\sin 2000^{\circ}\right)=$

Translate the above text into English, please retain the original text's line breaks and format, and output the translation result directly. 

7. $\arcsin \left(\sin 2000^{\circ}\right)=$
$$
-20^{\circ}
$$
7. [Analysis and Solution] According to the problem, we have $2000^{\circ}=180^{\circ} \times 11+20^{\circ}$,
$$
\begin{array}{l}
\therefore \sin 2000^{\circ}=\sin \left(180^{\circ} \times 11+20^{\circ}\right)=\sin \left(-20^{\circ}\right), \\
\therefore \arcsin \left(2000^{\circ}\right)=-20^{\circ}
\end{array}
$$