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SSC CGL 2023 PYQ — Question 59

SSC CGL - 17 July 2023 - Shift 3 • Quantitative Aptitude • Q59

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If cosx = −12-\frac{1}{2} ,x lies in the third quadrant, then tanx = ?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 3\sqrt{3}.

We know there are four quadrants

Quadrant I:- All trigonometry ratios are positive

Quadrant II:- only sin and cosec are positive

Quadrant III:- only tan and cot are positive

Quadrant IV:- only cos and sec are positive

⇒ cosx = -1/2

⇒ cos60° = 1/2

⇒ x = 60°

Then,

⇒ tanx = tan60° = √3