SSC CGL 2022 PYQ — Question 73

SSC CGL - 12 April 2022 - Shift 1 • Quantitative Aptitude • Q73

If cot B = 12/5, what is the value of sec B?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 13/12.

We know, cot B = Base/Perpendicular

Here, Base = 12 cm and Perpendicular = 5 cm

Also, Hypotenuse = {Base2 + Perpendicular2}1/2

Hypotenuse = {122 + 52}1/2 = (144 + 25)1/2

Hypotenuse = (169)1/2 = 13 cm

We have to find sec B which is Hypotenuse/Base

So, sec B = 13/12