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SSC CGL 2020 PYQ — Question 64

SSC CGL - 3rd March 2020 Shift 2 • Quantitative Aptitude • Q64

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If (Secθ - tanθ)/(Secθ + tanθ) = 3/5, then the value of (Cosecθ + Cotθ)/(Cosecθ - Cotθ) is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e 31 + 8√(15)

⇒ (Secθ - tanθ) / (Secθ + tanθ) = 3 / 5

⇒ (1 - sinθ) / (1 + sinθ) = 3 / 5

By adding 1 in both the sides

⇒ (1 - sinθ) / (1 + sinθ) +  = 8 / 5

⇒ 1 / (1 + sinθ) = 4 / 5

⇒ Sinθ = 1 / 4

⇒ Cosθ = √15 / 4

⇒ (Cosecθ + Cotθ) / (Cosecθ - Cotθ)

⇒ (1 + Cosθ) / (1 - Cosθ)

⇒ (1 + Cosθ)2 / Sin2θ

⇒ (1 + √15 / 4)2 / 1 / 16

⇒ 31 + 8√15