8. Let real numbers $a , b , t$ satisfy $| a + 1 | = | \sin b | = t$
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{6eaabd6d-4b21-43ea-bbea-9eeb6011c58d-2_305_444_278_1482}
\captionsetup{labelformat=empty}
\caption{(Figure for Question 7)}
\end{center}
\end{figure}
A. If $t$ is determined, then $b ^ { 2 }$ is uniquely determined\\
B. If $t$ is determined, then $a ^ { 2 } + 2 a$ is uniquely determined\\
C. If $t$ is determined, then $\sin \frac { b } { 2 }$ is uniquely determined\\
D. If $t$ is determined, then $a ^ { 2 } + a$ is uniquely determined
\section*{II. Fill-in-the-Blank Questions (This section contains 7 questions. Multi-blank questions are worth 6 points each, single-blank questions are worth 4 points each, 36 points total.)}