SSC CGL 2022 PYQ — Question 65

SSC CGL - 01 Dec 2022 - Shift 4 • Quantitative Aptitude • Q65

If cos⁡  A=941,\cos \;A = \frac{9}{{41}}, find cotA.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  940\frac{9}{{40}}

Concept used:

In a triangle ABC,

Cos A = base/hypotenuse

where, Cot A = base/perpendicular

Calculation:

Base = 9 and hypotenuse = 41

Using pythagoras theorem,

Perpendicular2 = Hypotenuse2 - base2

⇒ 412 - 92 = perpendicular2

⇒ perpendicular2 = 1600

⇒ perpendicular = 40

Hence, cot A = 9/40