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SSC Selection Post 2022 PYQ — Question 56

SSC Selection Post - Graduation Level - 4 Aug 2022 - Shift 2 • Quantitative Aptitude • Q56

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If cos θ = 513\frac{5}{13}, what is the value of cot θ?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 512\frac{5}{12}.

sin2θ = 1 - cos2θ = 1 - (5/13)2 = 1 - 25/169 = 144/169

sin θ = √(144/169) = 12/13

cot θ = cos θ/sin θ = (5/13)/(12/13) = 5/12