Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 63: 63

$120^{\circ}$ and $300^{\circ}$

1. Since $tan$ $\theta$ is negative, $\theta$ must be in quadrant II or IV. 2.. The absolute value of $\tan\theta$ is $\sqrt 3$, so the reference angle is $60^{\circ}$, so the other angles must be: $180^{\circ} - 60^{\circ} = 120^{\circ}$ $360^{\circ} - 60^{\circ} = 300 ^{\circ}$