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SSC CHSL 2023 PYQ — Question 64

SSC CHSL 2023 - 02 Aug 2023 - Shift 3 • Quantitative Aptitude • Q64

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If tan θ = 819\frac {8}{19}, find the value of sec2 θ .

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Correct answer: D

Explanation

 The correct answer is option 4 i.e.  1643611\frac{64}{361}.

Given that

If tan θ = 819\frac {8}{19},

As we know,

sec2 θ - tan2 θ = 1

sec2 θ  = 1 + tan2 θ

sec2 θ  = 1 + (8/19)2 = 1 + 64/361 = 1643611\frac{64}{361}