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SSC CHSL 2023 PYQ — Question 60

SSC CHSL - 02 Aug 2023 - Shift 1 • Quantitative Aptitude • Q60

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If cotθ = 917\frac{9}{17} , find the value of cosec2θ.

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Correct answer: D

Explanation

The correct answer is option 4 i.e.  181289\frac{81}{289}

Given that

If cotθ = 917\frac{9}{17} ,

As we know,

⇒ cosec2θ - cot2θ = 1

⇒ cosec2θ = 1 + cot2θ = 1 + (9/17)2 = 1 + 81/289

⇒ cosec2θ =  181289\frac{81}{289}