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SSC CGL 2022 PYQ — Question 64

SSC CGL - 05 Dec 2022 - Shift 4 • Quantitative Aptitude • Q64

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If 8cot θ=6\theta=6, then the value of sinθ+cosθsinθ−cosθ\frac{sin\theta+cos\theta}{sin\theta-cos\theta} is:

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Correct answer: B

Explanation

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

8cot θ=6\theta=6

⇒ cot θ = 3/4

⇒ Cosθ/Sinθ = 3/4

⇒ sinθ+cosθsinθ−cosθ\frac{sin\theta+cos\theta}{sin\theta-cos\theta} = (4 + 3)/(4 - 3) = 7