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SSC CGL 2020 PYQ — Question 94

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q94

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sin2θcosθ(1+cosθ)+1+cosθcosθ=?\frac{sin^2\theta}{cos\theta(1+cos\theta)}+\frac{1+cos\theta}{cos\theta}=?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 2secθ

⇒ (1 - cos2θ)/(cosθ(1 + cosθ) + (1 + cosθ)/cosθ

⇒ (1 - cosθ)/cosθ + (1 + cosθ)/cosθ

⇒ 2/cosθ

⇒ 2secθ.