Answer
$30^{\circ}$ and $330^{\circ}$
Work Step by Step
1. Since $cos$ $\theta$ is positive, $\theta$ must be in quadrant I or IV.
2.. The reference angle is $30^{\circ}$, so the other angle must be $360^{\circ} - 30^{\circ} = 330^{\circ}$.
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 2 - Acute Angles and Right Triangles - Section 2.2 Trigonometric Functions of Non-Acute Angles - 2.2 Exercises - Page 61: 80
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