Question

The principal solutions of cot x = `sqrt3` are ______.

Options

• `pi/6, (7pi)/6`

• `pi/3, (7pi)/3`

• `pi/4, (5pi)/4`

• `pi/6, (5pi)/6`

Answer 1

The principal solutions of cot x = `sqrt3` are `underline(pi/6, (7pi)/6)`.

Explanation:

We have,

cot x = `sqrt3`

cot x = cot `pi/6` or cot `(pi + pi/6)`

∴ x = `pi/6, (7pi)/6`

∴ Principal solution is `pi/6, (7pi)/6`