Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270^\circ, find \(\theta\).
A
65o
B
115o
C
145o
D
245o
E
265o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)
\(\theta\) = -64.99 = -65^\circ
\(\theta\) = 180^\circ - (-65);
180 + 65 = 245^\circ
Source: Myschool Past Questions Archive (Record #22921)