Solution:
Consider the following trigonometric equation:
![3\cot (\theta)=-\sqrt[]{3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/yx1si9n2k7ghmp8yq4x7gkj3zoqnxvu9np.png)
This is equivalent to:
![\cot (\theta)=-\frac{\sqrt[]{3}}{3}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fyz04ew4hdeli5rkpushi2qfj63apeg036.png)
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:
