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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. 65o
  • B. 115o
  • C. 145o
  • D. 245o
  • E. 265o
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Correct Answer: Option D
Explanation

Sin\(\theta\) = -0.9063; \(\theta\) = sin-1(0.9063)

\(\theta\) = -64.99 = -65°

\(\theta\) = 180° - (-65);

180 + 65 = 245°

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