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Mathematics · JEE | TRIGONOMETRIC FUNCTIONS
हिन्दीIf \( \cos x = -\frac{1}{2} \) and \( x \) lies in the third quadrant, then the value of \( \tan x \) is:
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Correct answer · Option B
\( \sqrt{3} \)
Explanation
In the third quadrant, \( \sin x = -\sqrt{1 - \cos^2 x} = -\sqrt{1 - \frac{1}{4}} = -\frac{\sqrt{3}}{2} \). Then \( \tan x = \frac{\sin x}{\cos x} = \frac{-\sqrt{3}/2}{-1/2} = \sqrt{3} \).
