# Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 63: 66

$\theta = 120^{\circ}$ or $300^{\circ}$

#### Work Step by Step

1. Since $cot\theta$ is negative, $\theta$ must be in quadrant II or IV. 2. The absolute value of $sec\theta$ is $\frac{\sqrt 3}{3}$, therefore the reference angles is $60^{\circ}$. The actual angles in II and IV quadrants are following: $180^{\circ}-60^{\circ}=120^{\circ}$ $180^{\circ}+60^{\circ}=300^{\circ}$

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