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SSC CGL 2024 PYQ — Question 60

SSC CGL - 18 Sep 2024 - Shift 2 • Quantitative Aptitude • Q60

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If tan θ = 8158\over15, and θ is an acute angle, then the value of 1−sinθ1+sinθ\sqrt{1-sinθ}\over\sqrt{1+sinθ} is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 353\over5.

tan θ = 8158\over15 = pb\frac{p}{b}

⇒ h2^2 = (15)2^2 + (8)2^2 = 289

⇒ h = 17

⇒ Sinθ = p/h = 8/17

⇒ 1−sinθ1+sinθ\sqrt{1-sinθ}\over\sqrt{1+sinθ}

⇒ 1−8/171+8/17\sqrt{1-8/17}\over\sqrt{1+8/17}

⇒ 9/1725/17\sqrt{9/17}\over\sqrt{25/17}

⇒ 35\frac{3}{5}