Question

In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is:

Options

• 2

• 1

• `sqrt3`

• `1/sqrt3`

Answer 1

`bbsqrt3`

Explanation:

In the right-angled triangle ACB where ∠ACB = 90° and ∠CAB = 60°, the angle ABC is 90° − 60° = 30°. Therefore, cot ∠ACB = cot 30° = \[\sqrt{3}\].