Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\)
MATHEMATICS
WAEC 1991
Given that sin \(\theta\) = -0.9063, where O \(\leq\) \(\theta\) \(\leq\) 270°, find \(\theta\)
- A. 65°
- B. 115°
- C. 145°
- D. 245°
Correct Answer: D. 245°
Explanation
Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)
\(\theta\) = -64.99 = -65°
\(\theta\) = 180° - (-65);
180 + 65 = 245°
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