## Algebra 2 (1st Edition)

$206.74^{\circ}$
Let us consider $\sin \theta = -0.45$ ; $180^{\circ} \lt \theta \lt 270^{\circ}$ and $\theta =\sin^{-1} (-0.45) \approx -26.74^{\circ}$ So, the reference angle is: $\theta = 180^{\circ}+26.74^{\circ}=206.74^{\circ}$