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SSC CHSL 2025 PYQ — Question 62

SSC CHSL - 27 Nov 2025 - Shift 3 • Quantitative Aptitude • Q62

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If sec(θ)=2, what is the value of sin(θ).

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Correct answer: A

Explanation

Given:

secθ = 2

By the formula:

secθ = 1 / cosθ

sin²θ + cos²θ = 1

cosθ = 1 / 2

sin²θ + (1/2)² = 1

sin²θ + 1/4 = 1

sin²θ = 3/4

sinθ = √3 / 2