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SSC CGL 2025 PYQ — Question 58

SSC CGL - 23 Sep 2025 - Shift 3 • Quantitative Aptitude • Q58

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If sin A = 35\frac{3}{5} and A lies in the 2nd quadrant, what is the value of tan A?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. −34-\frac{3}{4}.

sin A = 3/5

In the 2nd quadrant, cos A is negative

cos A = −1−sin2A−\sqrt{1 − sin^2A} = −1−925−\sqrt{1 − {9\over25}} = −1625−\sqrt{16\over25} = −45−4\over5

tan A = sinAcosAsin A \over cos A = 35−45{3\over5} \over {−4\over5} = −34-\frac{3}{4}