Question

Can someone please solve this problem

Answer 1

`\boxed { \sqrt{} }30 \degree`

`\boxed { \sqrt{} }210 \degree`

Step-by-step explanation

We want to solve

`\cot( \theta) = √(3)`

where

`0 \degree \: \leqslant x \leqslant 360 \degree`

We reciprocate both sides of this trigonometric equation to obtain:

`\tan( \theta) = (1)/( √(3) )`

We take arctangent of both sides to get;

`\theta = \tan ^( - 1) ( (1)/( √(3) ) )`

`\theta = 30 \degree`

This is the principal solution.

The tangent ratio is also positive in the third quadrant.

The solution in the third quadrant is

`180 + \theta = 180 + 30 = 210 \degree`