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SSC CGL 2023 PYQ — Question 53

SSC CGL - 25 July 2023 - Shift 3 • Quantitative Aptitude • Q53

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If cos2θcos^2\theta = 34\frac{3}{4}, where θ\theta is an acute angle, then the value of sin(θ\theta + 30°) is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 32\frac{\sqrt3}{2}.

cos2θcos^2\theta = 34\frac{3}{4}

⇒ cosθcos\theta = 34\sqrt\frac{3}{4}= 32\frac{\sqrt3}{2}

⇒ θ\theta = 30°

So, sin(θ\theta + 30°) = sin(30° + 30°)

⇒ sin60° = 32\frac{\sqrt3}{2}