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SSC CHSL 2023 PYQ — Question 64

SSC CHSL - 09 Aug 2023 - Shift 4 • Quantitative Aptitude • Q64

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if tan θ\theta. tan2θ\theta= 1, then the value of cot 5θ\theta is :

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Correct answer: C

Explanation

The correct answer is Option 3 i.e.- 3\sqrt3.

tan θ.tan 2θ = 1

⇒ tan 2θ = 1/tan θ

⇒ tan 2θ = cot θ

⇒ 2θ + θ = 90°

⇒ θ = 90°/3 = 30°

⇒ cot 5θ = cot 150° = cot (90° + 60°) = - tan 60° = - √3