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SSC CHSL 2023 PYQ — Question 59

SSC CHSL - 14 Aug 2023 - Shift 3 • Quantitative Aptitude • Q59

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If cos5α = sinα and 5α < 90°, then the value of tan2α is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 13\frac{1}{ \sqrt{3}}.

cos 5α = sin α

⇒ sin (90° - 5α) = sin α

⇒ 90° - 5α = α

⇒ 6α = 90°

⇒ α = 90°/6 = 15°

⇒ tan 2α = tan 30° = 1/√3