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SSC CGL 2024 PYQ — Question 52

SSC CGL - 12 Sep 2024 - Shift 3 • Quantitative Aptitude • Q52

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If 7 cos A = 6, then the numerical value of cosecA+cotAcosecA−cotA{cosec A + cot A\over cosec A - cot A} is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 13.

7 cos A = 6

⇒ cos A = 6/7 = Base/Hypotenuse

⇒ 72 = 62 + Perpendicular2

⇒ Perpendicular = √13

cosec A = 7/√13 and cot A = 6/√13

According to the question;

⇒ (7/√13 + 6/√13)/(7/√13 - 6/√13)

⇒ 13