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/ $\sin z = 1 \Rightarrow z = 90^\circ$
$\sin z = 1 \Rightarrow z = 90^\circ$
February 22, 2026
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Solve the quadratic:
x = \frac{3 \pm \sqrt{9 - 8}}{4} = \frac{3 \pm 1}{4} \Rightarrow x = 1, \frac{1}{2}
Now solve for $z$:
$\sin z = \frac{1}{2} \Rightarrow z = 30^\circ, 150^\circ$
Thus, the solutions are:
\boxed{30^\circ, 90^\circ, 150^\circ}
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