In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is : 1. 2 2. 1 3. √3 4. 1/√3

Let ∠ABC be `x`. Using the angle sum property of a triangle, which states that the sum of all angles in a triangle is 180°: ⇒ ∠CAB \+ ∠ ACB \+ ∠ ABC = 180° ⇒ 60° \+ 90° \+ x = 180° ⇒ 150° \+ x = 180° ⇒ x = 180° \- 150° ⇒ x = 30° Now, cot ∠ABC = cot 30° = Hence, option 3 is the correct option.