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Question: Answered & Verified by Expert
If $\sin \theta=-\frac{1}{2}$ and $\tan \theta=\frac{1}{\sqrt{3}}$, then in which quadrant does
$\theta$ lie?
MathematicsTrigonometric Ratios & IdentitiesNDANDA 2019 (Phase 1)
Options:
  • A First
  • B Second
  • C Third
  • D Fourth
Solution:
1432 Upvotes Verified Answer
The correct answer is: Third
$\sin \theta=\frac{-1}{2}, \tan \theta=\frac{1}{\sqrt{3}}$


$\sin \theta$ is negative, $\tan \theta$ is positive
$\theta$ lies in third quadrant.

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