SSC CPO 2023 PYQ — Question 134

The correct answer is option 3 i.e. $\frac{1}{2{\sqrt{30}}}$

Given:

cos A = 1/11

Concept used:

Pythagoras theorem is used.

Hypotenuse² = Base² + perpendicular²

Calculations:

We know that,

cos A = 1/11 = base/hypotenuse

Using pythagoras theorem, we get

⇒ 11² = 1² + perpendicular²

⇒ 121 - 1 = perpendicular²

⇒ Perpendicular = 2√30 

Now,

⇒ cot A = Base/perpendicular

⇒ cot A = 1/2√30