SarkariPYQ

SSC CHSL 2023 PYQ — Question 55

SSC CHSL 2023 - 02 Aug 2023 - Shift 2 • Quantitative Aptitude • Q55

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The value of cot 13° cot 27° cot 60° cot 63° cot 77° is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 13\frac{1}{\sqrt3}

Concept used:

cot (90 - A) = tan A

tan A = 1/cot A

Calculations:

⇒ cot 13° cot 27° cot 60° cot 63° cot 77°

According to the question;

⇒ cot 13° cot 27° cot 60° cot (90° - 27°) cot (90° - 13°)

⇒ cot 13° cot 27° cot 60° cot (90° - 27°) cot (90° - 13°)

⇒ cot 13° cot 27° cot 60° tan 27° tan 13°

⇒ cot 13° × cot 27° × cot 60° × 1/cot 27° × 1/cot 13°

⇒ cot 60° = 1/√3