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