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SSC CGL 2024 PYQ — Question 56

SSC CGL - 17 Sep 2024 - Shift 1 • Quantitative Aptitude • Q56

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If secθ = 292029\over20 where 0 < θ < 90°, then what is the value of 3cosecθ + 3cotθ?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 7.

secθ = Hypotenuse/Base = 29/20, 0 < θ < 90°

Using Pythagorean theorem, Perpendicular = √(Hypotenuse2 - Base2)

= √(292 - 202)

= √(841 - 400)

= √441 = 21

Now, 3cosecθ + 3cotθ = 3(29/21) + 3(20/21) = (87/21) + (60/21) = 147/21 = 7

Therefore, the value of the expression is 7.