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SSC CHSL 2023 PYQ — Question 71

SSC CHSL 2023 - 03 Aug 2023 - Shift 4 • Quantitative Aptitude • Q71

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If cosecθ=1722\theta =1 \frac{7}{22}, find the value of cot2θ.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 357484\frac{357}{484}.

Cosecθ = 17221 \frac{7}{22}

Cosecθ = 29/22

Cosecθ = Hypotenuse/Perpendicular

Hypotenuse2 = Perpendicular2 + Base2

⇒ 292 = 222 + Base2

⇒ 841 - 484 = Base2

⇒ Base2 = 357

cot2θ = Base2/Perpendicular2

⇒ cot2θ = 357/222

⇒ cot2θ = 357/484