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SSC CGL 2024 PYQ — Question 70

SSC CGL - 09 Sep 2024 - Shift 2 • Quantitative Aptitude • Q70

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What is the value of sec (t), if tan(t) = 13\frac{1}{3}?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 103\frac{\sqrt{10}}{3}.

tan θ = P/B = 13\frac{1}{3}

We know that,

H2 = B2 + P2

here, H = Hypotaneous, B = Base, and P = Perpendicular

⇒ H2 = 32 + 12

⇒ H2 = 9 + 1 

⇒ H = √10

So,

⇒ sec (t) = H/B = 103\frac{\sqrt{10}}{3}