SSC CGL 2022 PYQ — Question 67

SSC CGL - 03 Dec 2022 - Shift 3 • Quantitative Aptitude • Q67

If cot B = 9, then what will be the value of sec2 B?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 82/81.

Calculations:

Cot B = 9/1

Base = 9 and perpendicular = 1

Using Pythagoras theorem, we get

⇒ Hypotenuse = 92 + 12 = √82

⇒ sec B = √82/9

⇒ Hence, sec2B = 82/81