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SSC CGL 2022 PYQ — Question 53

SSC CGL - 06 Dec 2022 - Shift 2 • Quantitative Aptitude • Q53

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If cot A = 15/8, then what will be the value of tan 2A?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 240/161.

cot A = 15/8

tan A = 8/15

⇒ tan 2A = 2 tan A/(1 - tan2A)

⇒ tan 2A = 2×8151−(815)2\frac{2\times\frac{8}{15}}{1-(\frac{8}{15})^2}

⇒ tan 2A = (16/15)/(161/225)

= 240/161