Question

I need help with this practice problem *you can pick more than one answer

Answer 1

Solution:

Consider the following trigonometric equation:

$3\cot (\theta)=-\sqrt[]{3}$

This is equivalent to:

$\cot (\theta)=-\frac{\sqrt[]{3}}{3}$

now, consider the following trigonometric circle and the above equation:

According to this trigonometric circle and the definition of the cotangent function, we can conclude that the general solution would be:

$\theta=\frac{2\pi}{3}+\pi n$