SSC CGL 2022 PYQ — Question 66

SSC CGL - 06 Dec 2022 - Shift 3 • Quantitative Aptitude • Q66

Simplify the following.

cot13°.cot27°.cot45°.cot63°.cot77° = ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1.

Concept used:

Cot 45 = 1

We know that, cotA.cotB = 1 when A + B = 90

Calculations:

⇒ cot13° cot27° cot45° cot63° cot77°

cot13.cot77 = 1 and cot 27.cot 63 = 1

⇒ cot13° cot27° cot45° cot63° cot77° = 1