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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2019 · Mathematics · Trigonometric Ratios & Identities

If θ=-(1)/(2) and θ= 1 3 , then in which quadrant does θ lie?

If sin⁡θ=−12\sin \theta=-\frac{1}{2} and tan⁡θ=13\tan \theta=\frac{1}{\sqrt{3}}, then in which quadrant does θ\theta lie?

Options

  1. AFirst
  2. BSecond
  3. CThird
  4. DFourth

Correct answer

C. Third

Step-by-step solution

sin⁡θ=−12\sin \theta=-\frac{1}{2} and tan⁡θ=13\tan \theta=\frac{1}{\sqrt{3}}
sin⁡θ\sin \theta is negative, tan⁡θ\tan \theta is positive θ\theta lies in third quadrant.
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